Is 527 a prime number? What are the divisors of 527?

## Parity of 527

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

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## Is 527 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 527 is about 22.956.

Thus, the square root of 527 is not an integer, and therefore 527 is not a square number.

## What is the square number of 527?

The square of a number (here 527) is the result of the product of this number (527) by itself (i.e., 527 × 527); the square of 527 is sometimes called "raising 527 to the power 2", or "527 squared".

The square of 527 is 277 729 because 527 × 527 = 5272 = 277 729.

As a consequence, 527 is the square root of 277 729.

## Number of digits of 527

527 is a number with 3 digits.

## What are the multiples of 527?

The multiples of 527 are all integers evenly divisible by 527, that is all numbers such that the remainder of the division by 527 is zero. There are infinitely many multiples of 527. The smallest multiples of 527 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 527). 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 22.956). 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 527

• Preceding numbers: …525, 526
• Following numbers: 528, 529

### Nearest numbers from 527

• Preceding prime number: 523
• Following prime number: 541
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