Is 973 a prime number? What are the divisors of 973?

## Parity of 973

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

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## Is 973 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 973 is about 31.193.

Thus, the square root of 973 is not an integer, and therefore 973 is not a square number.

## What is the square number of 973?

The square of a number (here 973) is the result of the product of this number (973) by itself (i.e., 973 × 973); the square of 973 is sometimes called "raising 973 to the power 2", or "973 squared".

The square of 973 is 946 729 because 973 × 973 = 9732 = 946 729.

As a consequence, 973 is the square root of 946 729.

## Number of digits of 973

973 is a number with 3 digits.

## What are the multiples of 973?

The multiples of 973 are all integers evenly divisible by 973, that is all numbers such that the remainder of the division by 973 is zero. There are infinitely many multiples of 973. The smallest multiples of 973 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 973). 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 31.193). 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 973

• Preceding numbers: …971, 972
• Following numbers: 974, 975

### Nearest numbers from 973

• Preceding prime number: 971
• Following prime number: 977
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