Is 972 a prime number? What are the divisors of 972?

## Parity of 972

972 is an even number, because it is evenly divisible by 2: 972 / 2 = 486.

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## Is 972 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 972 is about 31.177.

Thus, the square root of 972 is not an integer, and therefore 972 is not a square number.

## What is the square number of 972?

The square of a number (here 972) is the result of the product of this number (972) by itself (i.e., 972 × 972); the square of 972 is sometimes called "raising 972 to the power 2", or "972 squared".

The square of 972 is 944 784 because 972 × 972 = 9722 = 944 784.

As a consequence, 972 is the square root of 944 784.

## Number of digits of 972

972 is a number with 3 digits.

## What are the multiples of 972?

The multiples of 972 are all integers evenly divisible by 972, that is all numbers such that the remainder of the division by 972 is zero. There are infinitely many multiples of 972. The smallest multiples of 972 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 972). 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 31.177). 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 972

• Preceding numbers: …970, 971
• Following numbers: 973, 974

### Nearest numbers from 972

• Preceding prime number: 971
• Following prime number: 977
Find out whether some integer is a prime number