Is 825 a prime number? What are the divisors of 825?

## Parity of 825

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

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## Is 825 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 825 is about 28.723.

Thus, the square root of 825 is not an integer, and therefore 825 is not a square number.

## What is the square number of 825?

The square of a number (here 825) is the result of the product of this number (825) by itself (i.e., 825 × 825); the square of 825 is sometimes called "raising 825 to the power 2", or "825 squared".

The square of 825 is 680 625 because 825 × 825 = 8252 = 680 625.

As a consequence, 825 is the square root of 680 625.

## Number of digits of 825

825 is a number with 3 digits.

## What are the multiples of 825?

The multiples of 825 are all integers evenly divisible by 825, that is all numbers such that the remainder of the division by 825 is zero. There are infinitely many multiples of 825. The smallest multiples of 825 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 825). 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 28.723). 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 825

• Preceding numbers: …823, 824
• Following numbers: 826, 827

### Nearest numbers from 825

• Preceding prime number: 823
• Following prime number: 827
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