Is 6737 a prime number? What are the divisors of 6737?

## Is 6737 a prime number?

Yes, 6737 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 6737, the only two divisors are 1 and 6737. Therefore 6737 is a prime number.

As a consequence, 6737 is only a multiple of 1 and 6737.

Since 6737 is a prime number, 6737 is also a deficient number, that is to say 6737 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6737 without 6737 itself (that is 1, by definition!).

## Parity of 6737

6737 is an odd number, because it is not evenly divisible by 2.

## Is 6737 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 6737 is about 82.079.

Thus, the square root of 6737 is not an integer, and therefore 6737 is not a square number.

Anyway, 6737 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6737?

The square of a number (here 6737) is the result of the product of this number (6737) by itself (i.e., 6737 × 6737); the square of 6737 is sometimes called "raising 6737 to the power 2", or "6737 squared".

The square of 6737 is 45 387 169 because 6737 × 6737 = 67372 = 45 387 169.

As a consequence, 6737 is the square root of 45 387 169.

## Number of digits of 6737

6737 is a number with 4 digits.

## What are the multiples of 6737?

The multiples of 6737 are all integers evenly divisible by 6737, that is all numbers such that the remainder of the division by 6737 is zero. There are infinitely many multiples of 6737. The smallest multiples of 6737 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6737 too, since 0 × 6737 = 0
• 6737: indeed, 6737 is a multiple of itself, since 6737 is evenly divisible by 6737 (we have 6737 / 6737 = 1, so the remainder of this division is indeed zero)
• 13 474: indeed, 13 474 = 6737 × 2
• 20 211: indeed, 20 211 = 6737 × 3
• 26 948: indeed, 26 948 = 6737 × 4
• 33 685: indeed, 33 685 = 6737 × 5
• etc.

## Nearest numbers from 6737

Find out whether some integer is a prime number