Is 5867 a prime number? What are the divisors of 5867?

## Is 5867 a prime number?

Yes, 5867 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 5867, the only two divisors are 1 and 5867. Therefore 5867 is a prime number.

As a consequence, 5867 is only a multiple of 1 and 5867.

Since 5867 is a prime number, 5867 is also a deficient number, that is to say 5867 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5867 without 5867 itself (that is 1, by definition!).

## Parity of 5867

5867 is an odd number, because it is not evenly divisible by 2.

## Is 5867 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 5867 is about 76.596.

Thus, the square root of 5867 is not an integer, and therefore 5867 is not a square number.

Anyway, 5867 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5867?

The square of a number (here 5867) is the result of the product of this number (5867) by itself (i.e., 5867 × 5867); the square of 5867 is sometimes called "raising 5867 to the power 2", or "5867 squared".

The square of 5867 is 34 421 689 because 5867 × 5867 = 58672 = 34 421 689.

As a consequence, 5867 is the square root of 34 421 689.

## Number of digits of 5867

5867 is a number with 4 digits.

## What are the multiples of 5867?

The multiples of 5867 are all integers evenly divisible by 5867, that is all numbers such that the remainder of the division by 5867 is zero. There are infinitely many multiples of 5867. The smallest multiples of 5867 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5867 too, since 0 × 5867 = 0
• 5867: indeed, 5867 is a multiple of itself, since 5867 is evenly divisible by 5867 (we have 5867 / 5867 = 1, so the remainder of this division is indeed zero)
• 11 734: indeed, 11 734 = 5867 × 2
• 17 601: indeed, 17 601 = 5867 × 3
• 23 468: indeed, 23 468 = 5867 × 4
• 29 335: indeed, 29 335 = 5867 × 5
• etc.

## Nearest numbers from 5867

Find out whether some integer is a prime number