Is 957 a prime number? What are the divisors of 957?

## Parity of 957

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

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## 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:

## 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
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