Is 957 a prime number?

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

For 957, the answer is: No, 957 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 957) is as follows: 1, 3, 11, 29, 33, 87, 319, 957.

For 957 to be a prime number, it would have been required that 957 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

957 is a multiple of 1
957 is a multiple of 3
957 is a multiple of 11
957 is a multiple of 29
957 is a multiple of 33
957 is a multiple of 87
957 is a multiple of 319

For 957 to be a prime number, it would have been required that 957 has only two divisors, i.e., itself and 1.

Is 957 a deficient number?

Yes, 957 is a deficient number, that is to say 957 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 957 without 957 itself (that is 1 + 3 + 11 + 29 + 33 + 87 + 319 = 483).

Parity of 957

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

Find out more:

What is an even number?

Is 957 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 957 is about 30.935.

Thus, the square root of 957 is not an integer, and therefore 957 is not a square number.

What is the square number of 957?

The square of a number (here 957) is the result of the product of this number (957) by itself (i.e., 957 × 957); the square of 957 is sometimes called "raising 957 to the power 2", or "957 squared".

The square of 957 is 915 849 because 957 × 957 = 957² = 915 849.

As a consequence, 957 is the square root of 915 849.

Number of digits of 957

957 is a number with 3 digits.

What are the multiples of 957?

The multiples of 957 are all integers evenly divisible by 957, that is all numbers such that the remainder of the division by 957 is zero. There are infinitely many multiples of 957. The smallest multiples of 957 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 957 too, since 0 × 957 = 0
957: indeed, 957 is a multiple of itself, since 957 is evenly divisible by 957 (we have 957 / 957 = 1, so the remainder of this division is indeed zero)
1 914: indeed, 1 914 = 957 × 2
2 871: indeed, 2 871 = 957 × 3
3 828: indeed, 3 828 = 957 × 4
4 785: indeed, 4 785 = 957 × 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 957). 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 30.935). 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 957

Preceding numbers: …955, 956
Following numbers: 958, 959…

Nearest numbers from 957

Preceding prime number: 953
Following prime number: 967