Is 537 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 537, the answer is: No, 537 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 537) is as follows: 1, 3, 179, 537.

For 537 to be a prime number, it would have been required that 537 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

537 is a multiple of 1
537 is a multiple of 3
537 is a multiple of 179

For 537 to be a prime number, it would have been required that 537 has only two divisors, i.e., itself and 1.

However, 537 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 537 = 3 x 179, where 3 and 179 are both prime numbers.

Is 537 a deficient number?

Yes, 537 is a deficient number, that is to say 537 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 537 without 537 itself (that is 1 + 3 + 179 = 183).

Parity of 537

537 is an odd number, because it is not evenly divisible by 2.

Find out more:

What is an even number?

Is 537 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 537 is about 23.173.

Thus, the square root of 537 is not an integer, and therefore 537 is not a square number.

What is the square number of 537?

The square of a number (here 537) is the result of the product of this number (537) by itself (i.e., 537 × 537); the square of 537 is sometimes called "raising 537 to the power 2", or "537 squared".

The square of 537 is 288 369 because 537 × 537 = 537² = 288 369.

As a consequence, 537 is the square root of 288 369.

Number of digits of 537

537 is a number with 3 digits.

What are the multiples of 537?

The multiples of 537 are all integers evenly divisible by 537, that is all numbers such that the remainder of the division by 537 is zero. There are infinitely many multiples of 537. The smallest multiples of 537 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 537 too, since 0 × 537 = 0
537: indeed, 537 is a multiple of itself, since 537 is evenly divisible by 537 (we have 537 / 537 = 1, so the remainder of this division is indeed zero)
1 074: indeed, 1 074 = 537 × 2
1 611: indeed, 1 611 = 537 × 3
2 148: indeed, 2 148 = 537 × 4
2 685: indeed, 2 685 = 537 × 5
etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 537). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 23.173). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 537

Preceding numbers: …535, 536
Following numbers: 538, 539…

Nearest numbers from 537

Preceding prime number: 523
Following prime number: 541