Is 6791 a prime number? What are the divisors of 6791?

## Is 6791 a prime number?

Yes, 6791 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 6791, the only two divisors are 1 and 6791. Therefore 6791 is a prime number.

As a consequence, 6791 is only a multiple of 1 and 6791.

Since 6791 is a prime number, 6791 is also a deficient number, that is to say 6791 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6791 without 6791 itself (that is 1, by definition!).

## Parity of 6791

6791 is an odd number, because it is not evenly divisible by 2.

## Is 6791 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 6791 is about 82.408.

Thus, the square root of 6791 is not an integer, and therefore 6791 is not a square number.

Anyway, 6791 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6791?

The square of a number (here 6791) is the result of the product of this number (6791) by itself (i.e., 6791 × 6791); the square of 6791 is sometimes called "raising 6791 to the power 2", or "6791 squared".

The square of 6791 is 46 117 681 because 6791 × 6791 = 67912 = 46 117 681.

As a consequence, 6791 is the square root of 46 117 681.

## Number of digits of 6791

6791 is a number with 4 digits.

## What are the multiples of 6791?

The multiples of 6791 are all integers evenly divisible by 6791, that is all numbers such that the remainder of the division by 6791 is zero. There are infinitely many multiples of 6791. The smallest multiples of 6791 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6791 too, since 0 × 6791 = 0
• 6791: indeed, 6791 is a multiple of itself, since 6791 is evenly divisible by 6791 (we have 6791 / 6791 = 1, so the remainder of this division is indeed zero)
• 13 582: indeed, 13 582 = 6791 × 2
• 20 373: indeed, 20 373 = 6791 × 3
• 27 164: indeed, 27 164 = 6791 × 4
• 33 955: indeed, 33 955 = 6791 × 5
• etc.

## Nearest numbers from 6791

Find out whether some integer is a prime number