Is 5387 a prime number? What are the divisors of 5387?

## Is 5387 a prime number?

Yes, 5387 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 5387, the only two divisors are 1 and 5387. Therefore 5387 is a prime number.

As a consequence, 5387 is only a multiple of 1 and 5387.

Since 5387 is a prime number, 5387 is also a deficient number, that is to say 5387 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5387 without 5387 itself (that is 1, by definition!).

## Parity of 5387

5387 is an odd number, because it is not evenly divisible by 2.

## Is 5387 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 5387 is about 73.396.

Thus, the square root of 5387 is not an integer, and therefore 5387 is not a square number.

Anyway, 5387 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5387?

The square of a number (here 5387) is the result of the product of this number (5387) by itself (i.e., 5387 × 5387); the square of 5387 is sometimes called "raising 5387 to the power 2", or "5387 squared".

The square of 5387 is 29 019 769 because 5387 × 5387 = 53872 = 29 019 769.

As a consequence, 5387 is the square root of 29 019 769.

## Number of digits of 5387

5387 is a number with 4 digits.

## What are the multiples of 5387?

The multiples of 5387 are all integers evenly divisible by 5387, that is all numbers such that the remainder of the division by 5387 is zero. There are infinitely many multiples of 5387. The smallest multiples of 5387 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5387 too, since 0 × 5387 = 0
• 5387: indeed, 5387 is a multiple of itself, since 5387 is evenly divisible by 5387 (we have 5387 / 5387 = 1, so the remainder of this division is indeed zero)
• 10 774: indeed, 10 774 = 5387 × 2
• 16 161: indeed, 16 161 = 5387 × 3
• 21 548: indeed, 21 548 = 5387 × 4
• 26 935: indeed, 26 935 = 5387 × 5
• etc.

## Nearest numbers from 5387

Find out whether some integer is a prime number