Is 495 a prime number? What are the divisors of 495?

## Parity of 495

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

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## Is 495 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 495 is about 22.249.

Thus, the square root of 495 is not an integer, and therefore 495 is not a square number.

## What is the square number of 495?

The square of a number (here 495) is the result of the product of this number (495) by itself (i.e., 495 × 495); the square of 495 is sometimes called "raising 495 to the power 2", or "495 squared".

The square of 495 is 245 025 because 495 × 495 = 4952 = 245 025.

As a consequence, 495 is the square root of 245 025.

## Number of digits of 495

495 is a number with 3 digits.

## What are the multiples of 495?

The multiples of 495 are all integers evenly divisible by 495, that is all numbers such that the remainder of the division by 495 is zero. There are infinitely many multiples of 495. The smallest multiples of 495 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 495). 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 22.249). 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 495

• Preceding numbers: …493, 494
• Following numbers: 496, 497

### Nearest numbers from 495

• Preceding prime number: 491
• Following prime number: 499
Find out whether some integer is a prime number