Is 393 a prime number? What are the divisors of 393?

## Parity of 393

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

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## Is 393 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 393 is about 19.824.

Thus, the square root of 393 is not an integer, and therefore 393 is not a square number.

## What is the square number of 393?

The square of a number (here 393) is the result of the product of this number (393) by itself (i.e., 393 × 393); the square of 393 is sometimes called "raising 393 to the power 2", or "393 squared".

The square of 393 is 154 449 because 393 × 393 = 3932 = 154 449.

As a consequence, 393 is the square root of 154 449.

## Number of digits of 393

393 is a number with 3 digits.

## What are the multiples of 393?

The multiples of 393 are all integers evenly divisible by 393, that is all numbers such that the remainder of the division by 393 is zero. There are infinitely many multiples of 393. The smallest multiples of 393 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 393). 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 19.824). 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 393

• Preceding numbers: …391, 392
• Following numbers: 394, 395

### Nearest numbers from 393

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