Is 396 a prime number? What are the divisors of 396?

## Parity of 396

396 is an even number, because it is evenly divisible by 2: 396 / 2 = 198.

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## Is 396 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 396 is about 19.900.

Thus, the square root of 396 is not an integer, and therefore 396 is not a square number.

## What is the square number of 396?

The square of a number (here 396) is the result of the product of this number (396) by itself (i.e., 396 × 396); the square of 396 is sometimes called "raising 396 to the power 2", or "396 squared".

The square of 396 is 156 816 because 396 × 396 = 3962 = 156 816.

As a consequence, 396 is the square root of 156 816.

## Number of digits of 396

396 is a number with 3 digits.

## What are the multiples of 396?

The multiples of 396 are all integers evenly divisible by 396, that is all numbers such that the remainder of the division by 396 is zero. There are infinitely many multiples of 396. The smallest multiples of 396 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 396). 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 19.900). 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 396

• Preceding numbers: …394, 395
• Following numbers: 397, 398

### Nearest numbers from 396

• Preceding prime number: 389
• Following prime number: 397
Find out whether some integer is a prime number