Is 549 a prime number?

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

For 549, the answer is: No, 549 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 549) is as follows: 1, 3, 9, 61, 183, 549.

For 549 to be a prime number, it would have been required that 549 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

549 is a multiple of 1
549 is a multiple of 3
549 is a multiple of 9
549 is a multiple of 61
549 is a multiple of 183

For 549 to be a prime number, it would have been required that 549 has only two divisors, i.e., itself and 1.

Is 549 a deficient number?

Yes, 549 is a deficient number, that is to say 549 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 549 without 549 itself (that is 1 + 3 + 9 + 61 + 183 = 257).

Parity of 549

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

Find out more:

What is an even number?

Is 549 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 549 is about 23.431.

Thus, the square root of 549 is not an integer, and therefore 549 is not a square number.

What is the square number of 549?

The square of a number (here 549) is the result of the product of this number (549) by itself (i.e., 549 × 549); the square of 549 is sometimes called "raising 549 to the power 2", or "549 squared".

The square of 549 is 301 401 because 549 × 549 = 549² = 301 401.

As a consequence, 549 is the square root of 301 401.

Number of digits of 549

549 is a number with 3 digits.

What are the multiples of 549?

The multiples of 549 are all integers evenly divisible by 549, that is all numbers such that the remainder of the division by 549 is zero. There are infinitely many multiples of 549. The smallest multiples of 549 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 549 too, since 0 × 549 = 0
549: indeed, 549 is a multiple of itself, since 549 is evenly divisible by 549 (we have 549 / 549 = 1, so the remainder of this division is indeed zero)
1 098: indeed, 1 098 = 549 × 2
1 647: indeed, 1 647 = 549 × 3
2 196: indeed, 2 196 = 549 × 4
2 745: indeed, 2 745 = 549 × 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 549). 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 23.431). 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 549

Preceding numbers: …547, 548
Following numbers: 550, 551…

Nearest numbers from 549

Preceding prime number: 547
Following prime number: 557