Is 11437 a prime number? What are the divisors of 11437?

## Is 11437 a prime number?

Yes, 11437 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 11437, the only two divisors are 1 and 11437. Therefore 11437 is a prime number.

As a consequence, 11437 is only a multiple of 1 and 11437.

Since 11437 is a prime number, 11437 is also a deficient number, that is to say 11437 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11437 without 11437 itself (that is 1, by definition!).

## Parity of 11437

11437 is an odd number, because it is not evenly divisible by 2.

## Is 11437 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 11437 is about 106.944.

Thus, the square root of 11437 is not an integer, and therefore 11437 is not a square number.

Anyway, 11437 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11437?

The square of a number (here 11437) is the result of the product of this number (11437) by itself (i.e., 11437 × 11437); the square of 11437 is sometimes called "raising 11437 to the power 2", or "11437 squared".

The square of 11437 is 130 804 969 because 11437 × 11437 = 114372 = 130 804 969.

As a consequence, 11437 is the square root of 130 804 969.

## Number of digits of 11437

11437 is a number with 5 digits.

## What are the multiples of 11437?

The multiples of 11437 are all integers evenly divisible by 11437, that is all numbers such that the remainder of the division by 11437 is zero. There are infinitely many multiples of 11437. The smallest multiples of 11437 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11437 too, since 0 × 11437 = 0
• 11437: indeed, 11437 is a multiple of itself, since 11437 is evenly divisible by 11437 (we have 11437 / 11437 = 1, so the remainder of this division is indeed zero)
• 22 874: indeed, 22 874 = 11437 × 2
• 34 311: indeed, 34 311 = 11437 × 3
• 45 748: indeed, 45 748 = 11437 × 4
• 57 185: indeed, 57 185 = 11437 × 5
• etc.

## Nearest numbers from 11437

Find out whether some integer is a prime number