Is 441 a prime number? What are the divisors of 441?

## Parity of 441

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

Find out more:

## Is 441 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 441 is 21.

Therefore, the square root of 441 is an integer, and as a consequence 441 is a perfect square.

As a consequence, 21 is the square root of 441.

## What is the square number of 441?

The square of a number (here 441) is the result of the product of this number (441) by itself (i.e., 441 × 441); the square of 441 is sometimes called "raising 441 to the power 2", or "441 squared".

The square of 441 is 194 481 because 441 × 441 = 4412 = 194 481.

As a consequence, 441 is the square root of 194 481.

## Number of digits of 441

441 is a number with 3 digits.

## What are the multiples of 441?

The multiples of 441 are all integers evenly divisible by 441, that is all numbers such that the remainder of the division by 441 is zero. There are infinitely many multiples of 441. The smallest multiples of 441 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 441). 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 21). 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 441

• Preceding numbers: …439, 440
• Following numbers: 442, 443

### Nearest numbers from 441

• Preceding prime number: 439
• Following prime number: 443
Find out whether some integer is a prime number