Is 10837 a prime number? What are the divisors of 10837?

## Is 10837 a prime number?

Yes, 10837 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 10837, the only two divisors are 1 and 10837. Therefore 10837 is a prime number.

As a consequence, 10837 is only a multiple of 1 and 10837.

Since 10837 is a prime number, 10837 is also a deficient number, that is to say 10837 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10837 without 10837 itself (that is 1, by definition!).

## Parity of 10837

10837 is an odd number, because it is not evenly divisible by 2.

## Is 10837 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 10837 is about 104.101.

Thus, the square root of 10837 is not an integer, and therefore 10837 is not a square number.

Anyway, 10837 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10837?

The square of a number (here 10837) is the result of the product of this number (10837) by itself (i.e., 10837 × 10837); the square of 10837 is sometimes called "raising 10837 to the power 2", or "10837 squared".

The square of 10837 is 117 440 569 because 10837 × 10837 = 108372 = 117 440 569.

As a consequence, 10837 is the square root of 117 440 569.

## Number of digits of 10837

10837 is a number with 5 digits.

## What are the multiples of 10837?

The multiples of 10837 are all integers evenly divisible by 10837, that is all numbers such that the remainder of the division by 10837 is zero. There are infinitely many multiples of 10837. The smallest multiples of 10837 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10837 too, since 0 × 10837 = 0
• 10837: indeed, 10837 is a multiple of itself, since 10837 is evenly divisible by 10837 (we have 10837 / 10837 = 1, so the remainder of this division is indeed zero)
• 21 674: indeed, 21 674 = 10837 × 2
• 32 511: indeed, 32 511 = 10837 × 3
• 43 348: indeed, 43 348 = 10837 × 4
• 54 185: indeed, 54 185 = 10837 × 5
• etc.

## Nearest numbers from 10837

Find out whether some integer is a prime number