Is 921 a prime number? What are the divisors of 921?

## Parity of 921

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

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## Is 921 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 921 is about 30.348.

Thus, the square root of 921 is not an integer, and therefore 921 is not a square number.

## What is the square number of 921?

The square of a number (here 921) is the result of the product of this number (921) by itself (i.e., 921 × 921); the square of 921 is sometimes called "raising 921 to the power 2", or "921 squared".

The square of 921 is 848 241 because 921 × 921 = 9212 = 848 241.

As a consequence, 921 is the square root of 848 241.

## Number of digits of 921

921 is a number with 3 digits.

## What are the multiples of 921?

The multiples of 921 are all integers evenly divisible by 921, that is all numbers such that the remainder of the division by 921 is zero. There are infinitely many multiples of 921. The smallest multiples of 921 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 921). 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 30.348). 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 921

• Preceding numbers: …919, 920
• Following numbers: 922, 923

### Nearest numbers from 921

• Preceding prime number: 919
• Following prime number: 929
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