Is 581 a prime number? What are the divisors of 581?

## Parity of 581

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

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## Is 581 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 581 is about 24.104.

Thus, the square root of 581 is not an integer, and therefore 581 is not a square number.

## What is the square number of 581?

The square of a number (here 581) is the result of the product of this number (581) by itself (i.e., 581 × 581); the square of 581 is sometimes called "raising 581 to the power 2", or "581 squared".

The square of 581 is 337 561 because 581 × 581 = 5812 = 337 561.

As a consequence, 581 is the square root of 337 561.

## Number of digits of 581

581 is a number with 3 digits.

## What are the multiples of 581?

The multiples of 581 are all integers evenly divisible by 581, that is all numbers such that the remainder of the division by 581 is zero. There are infinitely many multiples of 581. The smallest multiples of 581 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 581). 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 24.104). 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 581

• Preceding numbers: …579, 580
• Following numbers: 582, 583

### Nearest numbers from 581

• Preceding prime number: 577
• Following prime number: 587
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