Is 529 a prime number? What are the divisors of 529?

## Parity of 529

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

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## Is 529 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 529 is 23.

Therefore, the square root of 529 is an integer, and as a consequence 529 is a perfect square.

As a consequence, 23 is the square root of 529.

## What is the square number of 529?

The square of a number (here 529) is the result of the product of this number (529) by itself (i.e., 529 × 529); the square of 529 is sometimes called "raising 529 to the power 2", or "529 squared".

The square of 529 is 279 841 because 529 × 529 = 5292 = 279 841.

As a consequence, 529 is the square root of 279 841.

## Number of digits of 529

529 is a number with 3 digits.

## What are the multiples of 529?

The multiples of 529 are all integers evenly divisible by 529, that is all numbers such that the remainder of the division by 529 is zero. There are infinitely many multiples of 529. The smallest multiples of 529 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 529). 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 23). 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 529

• Preceding numbers: …527, 528
• Following numbers: 530, 531

### Nearest numbers from 529

• Preceding prime number: 523
• Following prime number: 541
Find out whether some integer is a prime number
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