Is 10937 a prime number? What are the divisors of 10937?

## Is 10937 a prime number?

Yes, 10937 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 10937, the only two divisors are 1 and 10937. Therefore 10937 is a prime number.

As a consequence, 10937 is only a multiple of 1 and 10937.

Since 10937 is a prime number, 10937 is also a deficient number, that is to say 10937 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10937 without 10937 itself (that is 1, by definition!).

## Parity of 10937

10937 is an odd number, because it is not evenly divisible by 2.

## Is 10937 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 10937 is about 104.580.

Thus, the square root of 10937 is not an integer, and therefore 10937 is not a square number.

Anyway, 10937 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10937?

The square of a number (here 10937) is the result of the product of this number (10937) by itself (i.e., 10937 × 10937); the square of 10937 is sometimes called "raising 10937 to the power 2", or "10937 squared".

The square of 10937 is 119 617 969 because 10937 × 10937 = 109372 = 119 617 969.

As a consequence, 10937 is the square root of 119 617 969.

## Number of digits of 10937

10937 is a number with 5 digits.

## What are the multiples of 10937?

The multiples of 10937 are all integers evenly divisible by 10937, that is all numbers such that the remainder of the division by 10937 is zero. There are infinitely many multiples of 10937. The smallest multiples of 10937 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10937 too, since 0 × 10937 = 0
• 10937: indeed, 10937 is a multiple of itself, since 10937 is evenly divisible by 10937 (we have 10937 / 10937 = 1, so the remainder of this division is indeed zero)
• 21 874: indeed, 21 874 = 10937 × 2
• 32 811: indeed, 32 811 = 10937 × 3
• 43 748: indeed, 43 748 = 10937 × 4
• 54 685: indeed, 54 685 = 10937 × 5
• etc.

## Nearest numbers from 10937

Find out whether some integer is a prime number