Is 9337 a prime number? What are the divisors of 9337?

## Is 9337 a prime number?

Yes, 9337 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 9337, the only two divisors are 1 and 9337. Therefore 9337 is a prime number.

As a consequence, 9337 is only a multiple of 1 and 9337.

Since 9337 is a prime number, 9337 is also a deficient number, that is to say 9337 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9337 without 9337 itself (that is 1, by definition!).

## Parity of 9337

9337 is an odd number, because it is not evenly divisible by 2.

## Is 9337 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 9337 is about 96.628.

Thus, the square root of 9337 is not an integer, and therefore 9337 is not a square number.

Anyway, 9337 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9337?

The square of a number (here 9337) is the result of the product of this number (9337) by itself (i.e., 9337 × 9337); the square of 9337 is sometimes called "raising 9337 to the power 2", or "9337 squared".

The square of 9337 is 87 179 569 because 9337 × 9337 = 93372 = 87 179 569.

As a consequence, 9337 is the square root of 87 179 569.

## Number of digits of 9337

9337 is a number with 4 digits.

## What are the multiples of 9337?

The multiples of 9337 are all integers evenly divisible by 9337, that is all numbers such that the remainder of the division by 9337 is zero. There are infinitely many multiples of 9337. The smallest multiples of 9337 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9337 too, since 0 × 9337 = 0
• 9337: indeed, 9337 is a multiple of itself, since 9337 is evenly divisible by 9337 (we have 9337 / 9337 = 1, so the remainder of this division is indeed zero)
• 18 674: indeed, 18 674 = 9337 × 2
• 28 011: indeed, 28 011 = 9337 × 3
• 37 348: indeed, 37 348 = 9337 × 4
• 46 685: indeed, 46 685 = 9337 × 5
• etc.

## Nearest numbers from 9337

Find out whether some integer is a prime number