Is 3637 a prime number? What are the divisors of 3637?

## Is 3637 a prime number?

Yes, 3637 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 3637, the only two divisors are 1 and 3637. Therefore 3637 is a prime number.

As a consequence, 3637 is only a multiple of 1 and 3637.

Since 3637 is a prime number, 3637 is also a deficient number, that is to say 3637 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3637 without 3637 itself (that is 1, by definition!).

## Parity of 3637

3637 is an odd number, because it is not evenly divisible by 2.

## Is 3637 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 3637 is about 60.308.

Thus, the square root of 3637 is not an integer, and therefore 3637 is not a square number.

Anyway, 3637 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3637?

The square of a number (here 3637) is the result of the product of this number (3637) by itself (i.e., 3637 × 3637); the square of 3637 is sometimes called "raising 3637 to the power 2", or "3637 squared".

The square of 3637 is 13 227 769 because 3637 × 3637 = 36372 = 13 227 769.

As a consequence, 3637 is the square root of 13 227 769.

## Number of digits of 3637

3637 is a number with 4 digits.

## What are the multiples of 3637?

The multiples of 3637 are all integers evenly divisible by 3637, that is all numbers such that the remainder of the division by 3637 is zero. There are infinitely many multiples of 3637. The smallest multiples of 3637 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3637 too, since 0 × 3637 = 0
• 3637: indeed, 3637 is a multiple of itself, since 3637 is evenly divisible by 3637 (we have 3637 / 3637 = 1, so the remainder of this division is indeed zero)
• 7 274: indeed, 7 274 = 3637 × 2
• 10 911: indeed, 10 911 = 3637 × 3
• 14 548: indeed, 14 548 = 3637 × 4
• 18 185: indeed, 18 185 = 3637 × 5
• etc.

## Nearest numbers from 3637

Find out whether some integer is a prime number