Is 6373 a prime number? What are the divisors of 6373?

## Is 6373 a prime number?

Yes, 6373 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 6373, the only two divisors are 1 and 6373. Therefore 6373 is a prime number.

As a consequence, 6373 is only a multiple of 1 and 6373.

Since 6373 is a prime number, 6373 is also a deficient number, that is to say 6373 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6373 without 6373 itself (that is 1, by definition!).

## Parity of 6373

6373 is an odd number, because it is not evenly divisible by 2.

## Is 6373 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 6373 is about 79.831.

Thus, the square root of 6373 is not an integer, and therefore 6373 is not a square number.

Anyway, 6373 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6373?

The square of a number (here 6373) is the result of the product of this number (6373) by itself (i.e., 6373 × 6373); the square of 6373 is sometimes called "raising 6373 to the power 2", or "6373 squared".

The square of 6373 is 40 615 129 because 6373 × 6373 = 63732 = 40 615 129.

As a consequence, 6373 is the square root of 40 615 129.

## Number of digits of 6373

6373 is a number with 4 digits.

## What are the multiples of 6373?

The multiples of 6373 are all integers evenly divisible by 6373, that is all numbers such that the remainder of the division by 6373 is zero. There are infinitely many multiples of 6373. The smallest multiples of 6373 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6373 too, since 0 × 6373 = 0
• 6373: indeed, 6373 is a multiple of itself, since 6373 is evenly divisible by 6373 (we have 6373 / 6373 = 1, so the remainder of this division is indeed zero)
• 12 746: indeed, 12 746 = 6373 × 2
• 19 119: indeed, 19 119 = 6373 × 3
• 25 492: indeed, 25 492 = 6373 × 4
• 31 865: indeed, 31 865 = 6373 × 5
• etc.

## Nearest numbers from 6373

Find out whether some integer is a prime number