Is 8737 a prime number? What are the divisors of 8737?

## Is 8737 a prime number?

Yes, 8737 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 8737, the only two divisors are 1 and 8737. Therefore 8737 is a prime number.

As a consequence, 8737 is only a multiple of 1 and 8737.

Since 8737 is a prime number, 8737 is also a deficient number, that is to say 8737 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8737 without 8737 itself (that is 1, by definition!).

## Parity of 8737

8737 is an odd number, because it is not evenly divisible by 2.

## Is 8737 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 8737 is about 93.472.

Thus, the square root of 8737 is not an integer, and therefore 8737 is not a square number.

Anyway, 8737 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8737?

The square of a number (here 8737) is the result of the product of this number (8737) by itself (i.e., 8737 × 8737); the square of 8737 is sometimes called "raising 8737 to the power 2", or "8737 squared".

The square of 8737 is 76 335 169 because 8737 × 8737 = 87372 = 76 335 169.

As a consequence, 8737 is the square root of 76 335 169.

## Number of digits of 8737

8737 is a number with 4 digits.

## What are the multiples of 8737?

The multiples of 8737 are all integers evenly divisible by 8737, that is all numbers such that the remainder of the division by 8737 is zero. There are infinitely many multiples of 8737. The smallest multiples of 8737 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8737 too, since 0 × 8737 = 0
• 8737: indeed, 8737 is a multiple of itself, since 8737 is evenly divisible by 8737 (we have 8737 / 8737 = 1, so the remainder of this division is indeed zero)
• 17 474: indeed, 17 474 = 8737 × 2
• 26 211: indeed, 26 211 = 8737 × 3
• 34 948: indeed, 34 948 = 8737 × 4
• 43 685: indeed, 43 685 = 8737 × 5
• etc.

## Nearest numbers from 8737

Find out whether some integer is a prime number