Is 473 a prime number? What are the divisors of 473?

## Parity of 473

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

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## Is 473 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 473 is about 21.749.

Thus, the square root of 473 is not an integer, and therefore 473 is not a square number.

## What is the square number of 473?

The square of a number (here 473) is the result of the product of this number (473) by itself (i.e., 473 × 473); the square of 473 is sometimes called "raising 473 to the power 2", or "473 squared".

The square of 473 is 223 729 because 473 × 473 = 4732 = 223 729.

As a consequence, 473 is the square root of 223 729.

## Number of digits of 473

473 is a number with 3 digits.

## What are the multiples of 473?

The multiples of 473 are all integers evenly divisible by 473, that is all numbers such that the remainder of the division by 473 is zero. There are infinitely many multiples of 473. The smallest multiples of 473 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 473). 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 21.749). 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 473

• Preceding numbers: …471, 472
• Following numbers: 474, 475

### Nearest numbers from 473

• Preceding prime number: 467
• Following prime number: 479
Find out whether some integer is a prime number