Is 10337 a prime number? What are the divisors of 10337?

## Is 10337 a prime number?

Yes, 10337 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 10337, the only two divisors are 1 and 10337. Therefore 10337 is a prime number.

As a consequence, 10337 is only a multiple of 1 and 10337.

Since 10337 is a prime number, 10337 is also a deficient number, that is to say 10337 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10337 without 10337 itself (that is 1, by definition!).

## Parity of 10337

10337 is an odd number, because it is not evenly divisible by 2.

## Is 10337 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 10337 is about 101.671.

Thus, the square root of 10337 is not an integer, and therefore 10337 is not a square number.

Anyway, 10337 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10337?

The square of a number (here 10337) is the result of the product of this number (10337) by itself (i.e., 10337 × 10337); the square of 10337 is sometimes called "raising 10337 to the power 2", or "10337 squared".

The square of 10337 is 106 853 569 because 10337 × 10337 = 103372 = 106 853 569.

As a consequence, 10337 is the square root of 106 853 569.

## Number of digits of 10337

10337 is a number with 5 digits.

## What are the multiples of 10337?

The multiples of 10337 are all integers evenly divisible by 10337, that is all numbers such that the remainder of the division by 10337 is zero. There are infinitely many multiples of 10337. The smallest multiples of 10337 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10337 too, since 0 × 10337 = 0
• 10337: indeed, 10337 is a multiple of itself, since 10337 is evenly divisible by 10337 (we have 10337 / 10337 = 1, so the remainder of this division is indeed zero)
• 20 674: indeed, 20 674 = 10337 × 2
• 31 011: indeed, 31 011 = 10337 × 3
• 41 348: indeed, 41 348 = 10337 × 4
• 51 685: indeed, 51 685 = 10337 × 5
• etc.

## Nearest numbers from 10337

Find out whether some integer is a prime number