Is 981 a prime number? What are the divisors of 981?

## Parity of 981

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

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## Is 981 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 981 is about 31.321.

Thus, the square root of 981 is not an integer, and therefore 981 is not a square number.

## What is the square number of 981?

The square of a number (here 981) is the result of the product of this number (981) by itself (i.e., 981 × 981); the square of 981 is sometimes called "raising 981 to the power 2", or "981 squared".

The square of 981 is 962 361 because 981 × 981 = 9812 = 962 361.

As a consequence, 981 is the square root of 962 361.

## Number of digits of 981

981 is a number with 3 digits.

## What are the multiples of 981?

The multiples of 981 are all integers evenly divisible by 981, that is all numbers such that the remainder of the division by 981 is zero. There are infinitely many multiples of 981. The smallest multiples of 981 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 981). 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 31.321). 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 981

• Preceding numbers: …979, 980
• Following numbers: 982, 983

### Nearest numbers from 981

• Preceding prime number: 977
• Following prime number: 983
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