Is 5939 a prime number? What are the divisors of 5939?

## Is 5939 a prime number?

Yes, 5939 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 5939, the only two divisors are 1 and 5939. Therefore 5939 is a prime number.

As a consequence, 5939 is only a multiple of 1 and 5939.

Since 5939 is a prime number, 5939 is also a deficient number, that is to say 5939 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5939 without 5939 itself (that is 1, by definition!).

## Parity of 5939

5939 is an odd number, because it is not evenly divisible by 2.

## Is 5939 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 5939 is about 77.065.

Thus, the square root of 5939 is not an integer, and therefore 5939 is not a square number.

Anyway, 5939 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5939?

The square of a number (here 5939) is the result of the product of this number (5939) by itself (i.e., 5939 × 5939); the square of 5939 is sometimes called "raising 5939 to the power 2", or "5939 squared".

The square of 5939 is 35 271 721 because 5939 × 5939 = 59392 = 35 271 721.

As a consequence, 5939 is the square root of 35 271 721.

## Number of digits of 5939

5939 is a number with 4 digits.

## What are the multiples of 5939?

The multiples of 5939 are all integers evenly divisible by 5939, that is all numbers such that the remainder of the division by 5939 is zero. There are infinitely many multiples of 5939. The smallest multiples of 5939 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5939 too, since 0 × 5939 = 0
• 5939: indeed, 5939 is a multiple of itself, since 5939 is evenly divisible by 5939 (we have 5939 / 5939 = 1, so the remainder of this division is indeed zero)
• 11 878: indeed, 11 878 = 5939 × 2
• 17 817: indeed, 17 817 = 5939 × 3
• 23 756: indeed, 23 756 = 5939 × 4
• 29 695: indeed, 29 695 = 5939 × 5
• etc.

## Nearest numbers from 5939

Find out whether some integer is a prime number