Is 362 a prime number? What are the divisors of 362?

## Parity of 362

362 is an even number, because it is evenly divisible by 2: 362 / 2 = 181.

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## Is 362 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 362 is about 19.026.

Thus, the square root of 362 is not an integer, and therefore 362 is not a square number.

## What is the square number of 362?

The square of a number (here 362) is the result of the product of this number (362) by itself (i.e., 362 × 362); the square of 362 is sometimes called "raising 362 to the power 2", or "362 squared".

The square of 362 is 131 044 because 362 × 362 = 3622 = 131 044.

As a consequence, 362 is the square root of 131 044.

## Number of digits of 362

362 is a number with 3 digits.

## What are the multiples of 362?

The multiples of 362 are all integers evenly divisible by 362, that is all numbers such that the remainder of the division by 362 is zero. There are infinitely many multiples of 362. The smallest multiples of 362 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 362). 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 19.026). 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 362

• Preceding numbers: …360, 361
• Following numbers: 363, 364

### Nearest numbers from 362

• Preceding prime number: 359
• Following prime number: 367
Find out whether some integer is a prime number