Is 5237 a prime number? What are the divisors of 5237?

## Is 5237 a prime number?

Yes, 5237 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 5237, the only two divisors are 1 and 5237. Therefore 5237 is a prime number.

As a consequence, 5237 is only a multiple of 1 and 5237.

Since 5237 is a prime number, 5237 is also a deficient number, that is to say 5237 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5237 without 5237 itself (that is 1, by definition!).

## Parity of 5237

5237 is an odd number, because it is not evenly divisible by 2.

## Is 5237 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 5237 is about 72.367.

Thus, the square root of 5237 is not an integer, and therefore 5237 is not a square number.

Anyway, 5237 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5237?

The square of a number (here 5237) is the result of the product of this number (5237) by itself (i.e., 5237 × 5237); the square of 5237 is sometimes called "raising 5237 to the power 2", or "5237 squared".

The square of 5237 is 27 426 169 because 5237 × 5237 = 52372 = 27 426 169.

As a consequence, 5237 is the square root of 27 426 169.

## Number of digits of 5237

5237 is a number with 4 digits.

## What are the multiples of 5237?

The multiples of 5237 are all integers evenly divisible by 5237, that is all numbers such that the remainder of the division by 5237 is zero. There are infinitely many multiples of 5237. The smallest multiples of 5237 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5237 too, since 0 × 5237 = 0
• 5237: indeed, 5237 is a multiple of itself, since 5237 is evenly divisible by 5237 (we have 5237 / 5237 = 1, so the remainder of this division is indeed zero)
• 10 474: indeed, 10 474 = 5237 × 2
• 15 711: indeed, 15 711 = 5237 × 3
• 20 948: indeed, 20 948 = 5237 × 4
• 26 185: indeed, 26 185 = 5237 × 5
• etc.

## Nearest numbers from 5237

Find out whether some integer is a prime number