Is 6367 a prime number? What are the divisors of 6367?

## Is 6367 a prime number?

Yes, 6367 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 6367, the only two divisors are 1 and 6367. Therefore 6367 is a prime number.

As a consequence, 6367 is only a multiple of 1 and 6367.

Since 6367 is a prime number, 6367 is also a deficient number, that is to say 6367 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6367 without 6367 itself (that is 1, by definition!).

## Parity of 6367

6367 is an odd number, because it is not evenly divisible by 2.

## Is 6367 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 6367 is about 79.793.

Thus, the square root of 6367 is not an integer, and therefore 6367 is not a square number.

Anyway, 6367 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6367?

The square of a number (here 6367) is the result of the product of this number (6367) by itself (i.e., 6367 × 6367); the square of 6367 is sometimes called "raising 6367 to the power 2", or "6367 squared".

The square of 6367 is 40 538 689 because 6367 × 6367 = 63672 = 40 538 689.

As a consequence, 6367 is the square root of 40 538 689.

## Number of digits of 6367

6367 is a number with 4 digits.

## What are the multiples of 6367?

The multiples of 6367 are all integers evenly divisible by 6367, that is all numbers such that the remainder of the division by 6367 is zero. There are infinitely many multiples of 6367. The smallest multiples of 6367 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6367 too, since 0 × 6367 = 0
• 6367: indeed, 6367 is a multiple of itself, since 6367 is evenly divisible by 6367 (we have 6367 / 6367 = 1, so the remainder of this division is indeed zero)
• 12 734: indeed, 12 734 = 6367 × 2
• 19 101: indeed, 19 101 = 6367 × 3
• 25 468: indeed, 25 468 = 6367 × 4
• 31 835: indeed, 31 835 = 6367 × 5
• etc.

## Nearest numbers from 6367

Find out whether some integer is a prime number