Is 373 a prime number? What are the divisors of 373?

## Parity of 373

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

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## Is 373 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 373 is about 19.313.

Thus, the square root of 373 is not an integer, and therefore 373 is not a square number.

Anyway, 373 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 373?

The square of a number (here 373) is the result of the product of this number (373) by itself (i.e., 373 × 373); the square of 373 is sometimes called "raising 373 to the power 2", or "373 squared".

The square of 373 is 139 129 because 373 × 373 = 3732 = 139 129.

As a consequence, 373 is the square root of 139 129.

## Number of digits of 373

373 is a number with 3 digits.

## What are the multiples of 373?

The multiples of 373 are all integers evenly divisible by 373, that is all numbers such that the remainder of the division by 373 is zero. There are infinitely many multiples of 373. The smallest multiples of 373 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 373). 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 19.313). 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 373

• Preceding numbers: …371, 372
• Following numbers: 374, 375

### Nearest numbers from 373

• Preceding prime number: 367
• Following prime number: 379
Find out whether some integer is a prime number