Is 3631 a prime number? What are the divisors of 3631?

## Is 3631 a prime number?

Yes, 3631 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 3631, the only two divisors are 1 and 3631. Therefore 3631 is a prime number.

As a consequence, 3631 is only a multiple of 1 and 3631.

Since 3631 is a prime number, 3631 is also a deficient number, that is to say 3631 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3631 without 3631 itself (that is 1, by definition!).

## Parity of 3631

3631 is an odd number, because it is not evenly divisible by 2.

## Is 3631 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 3631 is about 60.258.

Thus, the square root of 3631 is not an integer, and therefore 3631 is not a square number.

Anyway, 3631 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3631?

The square of a number (here 3631) is the result of the product of this number (3631) by itself (i.e., 3631 × 3631); the square of 3631 is sometimes called "raising 3631 to the power 2", or "3631 squared".

The square of 3631 is 13 184 161 because 3631 × 3631 = 36312 = 13 184 161.

As a consequence, 3631 is the square root of 13 184 161.

## Number of digits of 3631

3631 is a number with 4 digits.

## What are the multiples of 3631?

The multiples of 3631 are all integers evenly divisible by 3631, that is all numbers such that the remainder of the division by 3631 is zero. There are infinitely many multiples of 3631. The smallest multiples of 3631 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3631 too, since 0 × 3631 = 0
• 3631: indeed, 3631 is a multiple of itself, since 3631 is evenly divisible by 3631 (we have 3631 / 3631 = 1, so the remainder of this division is indeed zero)
• 7 262: indeed, 7 262 = 3631 × 2
• 10 893: indeed, 10 893 = 3631 × 3
• 14 524: indeed, 14 524 = 3631 × 4
• 18 155: indeed, 18 155 = 3631 × 5
• etc.

## Nearest numbers from 3631

Find out whether some integer is a prime number