Is 6637 a prime number? What are the divisors of 6637?

## Is 6637 a prime number?

Yes, 6637 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 6637, the only two divisors are 1 and 6637. Therefore 6637 is a prime number.

As a consequence, 6637 is only a multiple of 1 and 6637.

Since 6637 is a prime number, 6637 is also a deficient number, that is to say 6637 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6637 without 6637 itself (that is 1, by definition!).

## Parity of 6637

6637 is an odd number, because it is not evenly divisible by 2.

## Is 6637 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 6637 is about 81.468.

Thus, the square root of 6637 is not an integer, and therefore 6637 is not a square number.

Anyway, 6637 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6637?

The square of a number (here 6637) is the result of the product of this number (6637) by itself (i.e., 6637 × 6637); the square of 6637 is sometimes called "raising 6637 to the power 2", or "6637 squared".

The square of 6637 is 44 049 769 because 6637 × 6637 = 66372 = 44 049 769.

As a consequence, 6637 is the square root of 44 049 769.

## Number of digits of 6637

6637 is a number with 4 digits.

## What are the multiples of 6637?

The multiples of 6637 are all integers evenly divisible by 6637, that is all numbers such that the remainder of the division by 6637 is zero. There are infinitely many multiples of 6637. The smallest multiples of 6637 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6637 too, since 0 × 6637 = 0
• 6637: indeed, 6637 is a multiple of itself, since 6637 is evenly divisible by 6637 (we have 6637 / 6637 = 1, so the remainder of this division is indeed zero)
• 13 274: indeed, 13 274 = 6637 × 2
• 19 911: indeed, 19 911 = 6637 × 3
• 26 548: indeed, 26 548 = 6637 × 4
• 33 185: indeed, 33 185 = 6637 × 5
• etc.

## Nearest numbers from 6637

Find out whether some integer is a prime number