Is 919 a prime number? What are the divisors of 919?

## Parity of 919

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

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## Is 919 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 919 is about 30.315.

Thus, the square root of 919 is not an integer, and therefore 919 is not a square number.

Anyway, 919 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 919?

The square of a number (here 919) is the result of the product of this number (919) by itself (i.e., 919 × 919); the square of 919 is sometimes called "raising 919 to the power 2", or "919 squared".

The square of 919 is 844 561 because 919 × 919 = 9192 = 844 561.

As a consequence, 919 is the square root of 844 561.

## Number of digits of 919

919 is a number with 3 digits.

## What are the multiples of 919?

The multiples of 919 are all integers evenly divisible by 919, that is all numbers such that the remainder of the division by 919 is zero. There are infinitely many multiples of 919. The smallest multiples of 919 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 919). 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 30.315). 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 919

• Preceding numbers: …917, 918
• Following numbers: 920, 921

### Nearest numbers from 919

• Preceding prime number: 911
• Following prime number: 929
Find out whether some integer is a prime number