Is 591 a prime number? What are the divisors of 591?

## Parity of 591

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

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## Is 591 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 591 is about 24.310.

Thus, the square root of 591 is not an integer, and therefore 591 is not a square number.

## What is the square number of 591?

The square of a number (here 591) is the result of the product of this number (591) by itself (i.e., 591 × 591); the square of 591 is sometimes called "raising 591 to the power 2", or "591 squared".

The square of 591 is 349 281 because 591 × 591 = 5912 = 349 281.

As a consequence, 591 is the square root of 349 281.

## Number of digits of 591

591 is a number with 3 digits.

## What are the multiples of 591?

The multiples of 591 are all integers evenly divisible by 591, that is all numbers such that the remainder of the division by 591 is zero. There are infinitely many multiples of 591. The smallest multiples of 591 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 591). 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 24.310). 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 591

• Preceding numbers: …589, 590
• Following numbers: 592, 593

### Nearest numbers from 591

• Preceding prime number: 587
• Following prime number: 593
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