Is 447 a prime number? What are the divisors of 447?

## Parity of 447

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

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## Is 447 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 447 is about 21.142.

Thus, the square root of 447 is not an integer, and therefore 447 is not a square number.

## What is the square number of 447?

The square of a number (here 447) is the result of the product of this number (447) by itself (i.e., 447 × 447); the square of 447 is sometimes called "raising 447 to the power 2", or "447 squared".

The square of 447 is 199 809 because 447 × 447 = 4472 = 199 809.

As a consequence, 447 is the square root of 199 809.

## Number of digits of 447

447 is a number with 3 digits.

## What are the multiples of 447?

The multiples of 447 are all integers evenly divisible by 447, that is all numbers such that the remainder of the division by 447 is zero. There are infinitely many multiples of 447. The smallest multiples of 447 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 447). 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 21.142). 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 447

• Preceding numbers: …445, 446
• Following numbers: 448, 449

### Nearest numbers from 447

• Preceding prime number: 443
• Following prime number: 449
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