Is 585 a prime number? What are the divisors of 585?

## Parity of 585

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

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## Is 585 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 585 is about 24.187.

Thus, the square root of 585 is not an integer, and therefore 585 is not a square number.

## What is the square number of 585?

The square of a number (here 585) is the result of the product of this number (585) by itself (i.e., 585 × 585); the square of 585 is sometimes called "raising 585 to the power 2", or "585 squared".

The square of 585 is 342 225 because 585 × 585 = 5852 = 342 225.

As a consequence, 585 is the square root of 342 225.

## Number of digits of 585

585 is a number with 3 digits.

## What are the multiples of 585?

The multiples of 585 are all integers evenly divisible by 585, that is all numbers such that the remainder of the division by 585 is zero. There are infinitely many multiples of 585. The smallest multiples of 585 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 585). 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 24.187). 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 585

• Preceding numbers: …583, 584
• Following numbers: 586, 587

### Nearest numbers from 585

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