Is 5437 a prime number? What are the divisors of 5437?

## Is 5437 a prime number?

Yes, 5437 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 5437, the only two divisors are 1 and 5437. Therefore 5437 is a prime number.

As a consequence, 5437 is only a multiple of 1 and 5437.

Since 5437 is a prime number, 5437 is also a deficient number, that is to say 5437 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5437 without 5437 itself (that is 1, by definition!).

## Parity of 5437

5437 is an odd number, because it is not evenly divisible by 2.

## Is 5437 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 5437 is about 73.736.

Thus, the square root of 5437 is not an integer, and therefore 5437 is not a square number.

Anyway, 5437 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5437?

The square of a number (here 5437) is the result of the product of this number (5437) by itself (i.e., 5437 × 5437); the square of 5437 is sometimes called "raising 5437 to the power 2", or "5437 squared".

The square of 5437 is 29 560 969 because 5437 × 5437 = 54372 = 29 560 969.

As a consequence, 5437 is the square root of 29 560 969.

## Number of digits of 5437

5437 is a number with 4 digits.

## What are the multiples of 5437?

The multiples of 5437 are all integers evenly divisible by 5437, that is all numbers such that the remainder of the division by 5437 is zero. There are infinitely many multiples of 5437. The smallest multiples of 5437 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5437 too, since 0 × 5437 = 0
• 5437: indeed, 5437 is a multiple of itself, since 5437 is evenly divisible by 5437 (we have 5437 / 5437 = 1, so the remainder of this division is indeed zero)
• 10 874: indeed, 10 874 = 5437 × 2
• 16 311: indeed, 16 311 = 5437 × 3
• 21 748: indeed, 21 748 = 5437 × 4
• 27 185: indeed, 27 185 = 5437 × 5
• etc.

## Nearest numbers from 5437

Find out whether some integer is a prime number