Is 629 a prime number? What are the divisors of 629?

## Parity of 629

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

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## Is 629 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 629 is about 25.080.

Thus, the square root of 629 is not an integer, and therefore 629 is not a square number.

## What is the square number of 629?

The square of a number (here 629) is the result of the product of this number (629) by itself (i.e., 629 × 629); the square of 629 is sometimes called "raising 629 to the power 2", or "629 squared".

The square of 629 is 395 641 because 629 × 629 = 6292 = 395 641.

As a consequence, 629 is the square root of 395 641.

## Number of digits of 629

629 is a number with 3 digits.

## What are the multiples of 629?

The multiples of 629 are all integers evenly divisible by 629, that is all numbers such that the remainder of the division by 629 is zero. There are infinitely many multiples of 629. The smallest multiples of 629 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 629). 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 25.080). 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 629

• Preceding numbers: …627, 628
• Following numbers: 630, 631

### Nearest numbers from 629

• Preceding prime number: 619
• Following prime number: 631
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