Is 6959 a prime number? What are the divisors of 6959?

## Is 6959 a prime number?

Yes, 6959 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 6959, the only two divisors are 1 and 6959. Therefore 6959 is a prime number.

As a consequence, 6959 is only a multiple of 1 and 6959.

Since 6959 is a prime number, 6959 is also a deficient number, that is to say 6959 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6959 without 6959 itself (that is 1, by definition!).

## Parity of 6959

6959 is an odd number, because it is not evenly divisible by 2.

## Is 6959 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 6959 is about 83.421.

Thus, the square root of 6959 is not an integer, and therefore 6959 is not a square number.

Anyway, 6959 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6959?

The square of a number (here 6959) is the result of the product of this number (6959) by itself (i.e., 6959 × 6959); the square of 6959 is sometimes called "raising 6959 to the power 2", or "6959 squared".

The square of 6959 is 48 427 681 because 6959 × 6959 = 69592 = 48 427 681.

As a consequence, 6959 is the square root of 48 427 681.

## Number of digits of 6959

6959 is a number with 4 digits.

## What are the multiples of 6959?

The multiples of 6959 are all integers evenly divisible by 6959, that is all numbers such that the remainder of the division by 6959 is zero. There are infinitely many multiples of 6959. The smallest multiples of 6959 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6959 too, since 0 × 6959 = 0
• 6959: indeed, 6959 is a multiple of itself, since 6959 is evenly divisible by 6959 (we have 6959 / 6959 = 1, so the remainder of this division is indeed zero)
• 13 918: indeed, 13 918 = 6959 × 2
• 20 877: indeed, 20 877 = 6959 × 3
• 27 836: indeed, 27 836 = 6959 × 4
• 34 795: indeed, 34 795 = 6959 × 5
• etc.

## Nearest numbers from 6959

Find out whether some integer is a prime number