Is 533 a prime number? What are the divisors of 533?

## Parity of 533

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

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## Is 533 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 533 is about 23.087.

Thus, the square root of 533 is not an integer, and therefore 533 is not a square number.

## What is the square number of 533?

The square of a number (here 533) is the result of the product of this number (533) by itself (i.e., 533 × 533); the square of 533 is sometimes called "raising 533 to the power 2", or "533 squared".

The square of 533 is 284 089 because 533 × 533 = 5332 = 284 089.

As a consequence, 533 is the square root of 284 089.

## Number of digits of 533

533 is a number with 3 digits.

## What are the multiples of 533?

The multiples of 533 are all integers evenly divisible by 533, that is all numbers such that the remainder of the division by 533 is zero. There are infinitely many multiples of 533. The smallest multiples of 533 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 533). 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 23.087). 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 533

• Preceding numbers: …531, 532
• Following numbers: 534, 535

### Nearest numbers from 533

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