Is 9137 a prime number? What are the divisors of 9137?

## Is 9137 a prime number?

Yes, 9137 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 9137, the only two divisors are 1 and 9137. Therefore 9137 is a prime number.

As a consequence, 9137 is only a multiple of 1 and 9137.

Since 9137 is a prime number, 9137 is also a deficient number, that is to say 9137 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9137 without 9137 itself (that is 1, by definition!).

## Parity of 9137

9137 is an odd number, because it is not evenly divisible by 2.

## Is 9137 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 9137 is about 95.588.

Thus, the square root of 9137 is not an integer, and therefore 9137 is not a square number.

Anyway, 9137 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9137?

The square of a number (here 9137) is the result of the product of this number (9137) by itself (i.e., 9137 × 9137); the square of 9137 is sometimes called "raising 9137 to the power 2", or "9137 squared".

The square of 9137 is 83 484 769 because 9137 × 9137 = 91372 = 83 484 769.

As a consequence, 9137 is the square root of 83 484 769.

## Number of digits of 9137

9137 is a number with 4 digits.

## What are the multiples of 9137?

The multiples of 9137 are all integers evenly divisible by 9137, that is all numbers such that the remainder of the division by 9137 is zero. There are infinitely many multiples of 9137. The smallest multiples of 9137 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9137 too, since 0 × 9137 = 0
• 9137: indeed, 9137 is a multiple of itself, since 9137 is evenly divisible by 9137 (we have 9137 / 9137 = 1, so the remainder of this division is indeed zero)
• 18 274: indeed, 18 274 = 9137 × 2
• 27 411: indeed, 27 411 = 9137 × 3
• 36 548: indeed, 36 548 = 9137 × 4
• 45 685: indeed, 45 685 = 9137 × 5
• etc.

## Nearest numbers from 9137

Find out whether some integer is a prime number