Is 11717 a prime number? What are the divisors of 11717?

## Is 11717 a prime number?

Yes, 11717 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 11717, the only two divisors are 1 and 11717. Therefore 11717 is a prime number.

As a consequence, 11717 is only a multiple of 1 and 11717.

Since 11717 is a prime number, 11717 is also a deficient number, that is to say 11717 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11717 without 11717 itself (that is 1, by definition!).

## Parity of 11717

11717 is an odd number, because it is not evenly divisible by 2.

## Is 11717 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 11717 is about 108.245.

Thus, the square root of 11717 is not an integer, and therefore 11717 is not a square number.

Anyway, 11717 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11717?

The square of a number (here 11717) is the result of the product of this number (11717) by itself (i.e., 11717 × 11717); the square of 11717 is sometimes called "raising 11717 to the power 2", or "11717 squared".

The square of 11717 is 137 288 089 because 11717 × 11717 = 117172 = 137 288 089.

As a consequence, 11717 is the square root of 137 288 089.

## Number of digits of 11717

11717 is a number with 5 digits.

## What are the multiples of 11717?

The multiples of 11717 are all integers evenly divisible by 11717, that is all numbers such that the remainder of the division by 11717 is zero. There are infinitely many multiples of 11717. The smallest multiples of 11717 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11717 too, since 0 × 11717 = 0
• 11717: indeed, 11717 is a multiple of itself, since 11717 is evenly divisible by 11717 (we have 11717 / 11717 = 1, so the remainder of this division is indeed zero)
• 23 434: indeed, 23 434 = 11717 × 2
• 35 151: indeed, 35 151 = 11717 × 3
• 46 868: indeed, 46 868 = 11717 × 4
• 58 585: indeed, 58 585 = 11717 × 5
• etc.

## Nearest numbers from 11717

Find out whether some integer is a prime number