Is 5737 a prime number? What are the divisors of 5737?

## Is 5737 a prime number?

Yes, 5737 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 5737, the only two divisors are 1 and 5737. Therefore 5737 is a prime number.

As a consequence, 5737 is only a multiple of 1 and 5737.

Since 5737 is a prime number, 5737 is also a deficient number, that is to say 5737 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5737 without 5737 itself (that is 1, by definition!).

## Parity of 5737

5737 is an odd number, because it is not evenly divisible by 2.

## Is 5737 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 5737 is about 75.743.

Thus, the square root of 5737 is not an integer, and therefore 5737 is not a square number.

Anyway, 5737 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5737?

The square of a number (here 5737) is the result of the product of this number (5737) by itself (i.e., 5737 × 5737); the square of 5737 is sometimes called "raising 5737 to the power 2", or "5737 squared".

The square of 5737 is 32 913 169 because 5737 × 5737 = 57372 = 32 913 169.

As a consequence, 5737 is the square root of 32 913 169.

## Number of digits of 5737

5737 is a number with 4 digits.

## What are the multiples of 5737?

The multiples of 5737 are all integers evenly divisible by 5737, that is all numbers such that the remainder of the division by 5737 is zero. There are infinitely many multiples of 5737. The smallest multiples of 5737 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5737 too, since 0 × 5737 = 0
• 5737: indeed, 5737 is a multiple of itself, since 5737 is evenly divisible by 5737 (we have 5737 / 5737 = 1, so the remainder of this division is indeed zero)
• 11 474: indeed, 11 474 = 5737 × 2
• 17 211: indeed, 17 211 = 5737 × 3
• 22 948: indeed, 22 948 = 5737 × 4
• 28 685: indeed, 28 685 = 5737 × 5
• etc.

## Nearest numbers from 5737

Find out whether some integer is a prime number