Is 5399 a prime number? What are the divisors of 5399?

## Is 5399 a prime number?

Yes, 5399 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 5399, the only two divisors are 1 and 5399. Therefore 5399 is a prime number.

As a consequence, 5399 is only a multiple of 1 and 5399.

Since 5399 is a prime number, 5399 is also a deficient number, that is to say 5399 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5399 without 5399 itself (that is 1, by definition!).

## Parity of 5399

5399 is an odd number, because it is not evenly divisible by 2.

## Is 5399 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 5399 is about 73.478.

Thus, the square root of 5399 is not an integer, and therefore 5399 is not a square number.

Anyway, 5399 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5399?

The square of a number (here 5399) is the result of the product of this number (5399) by itself (i.e., 5399 × 5399); the square of 5399 is sometimes called "raising 5399 to the power 2", or "5399 squared".

The square of 5399 is 29 149 201 because 5399 × 5399 = 53992 = 29 149 201.

As a consequence, 5399 is the square root of 29 149 201.

## Number of digits of 5399

5399 is a number with 4 digits.

## What are the multiples of 5399?

The multiples of 5399 are all integers evenly divisible by 5399, that is all numbers such that the remainder of the division by 5399 is zero. There are infinitely many multiples of 5399. The smallest multiples of 5399 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5399 too, since 0 × 5399 = 0
• 5399: indeed, 5399 is a multiple of itself, since 5399 is evenly divisible by 5399 (we have 5399 / 5399 = 1, so the remainder of this division is indeed zero)
• 10 798: indeed, 10 798 = 5399 × 2
• 16 197: indeed, 16 197 = 5399 × 3
• 21 596: indeed, 21 596 = 5399 × 4
• 26 995: indeed, 26 995 = 5399 × 5
• etc.

## Nearest numbers from 5399

Find out whether some integer is a prime number