Is 17713 a prime number? What are the divisors of 17713?

## Is 17713 a prime number?

Yes, 17713 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 17713, the only two divisors are 1 and 17713. Therefore 17713 is a prime number.

As a consequence, 17713 is only a multiple of 1 and 17713.

Since 17713 is a prime number, 17713 is also a deficient number, that is to say 17713 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 17713 without 17713 itself (that is 1, by definition!).

## Parity of 17713

17713 is an odd number, because it is not evenly divisible by 2.

## Is 17713 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 17713 is about 133.090.

Thus, the square root of 17713 is not an integer, and therefore 17713 is not a square number.

Anyway, 17713 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 17713?

The square of a number (here 17713) is the result of the product of this number (17713) by itself (i.e., 17713 × 17713); the square of 17713 is sometimes called "raising 17713 to the power 2", or "17713 squared".

The square of 17713 is 313 750 369 because 17713 × 17713 = 177132 = 313 750 369.

As a consequence, 17713 is the square root of 313 750 369.

## Number of digits of 17713

17713 is a number with 5 digits.

## What are the multiples of 17713?

The multiples of 17713 are all integers evenly divisible by 17713, that is all numbers such that the remainder of the division by 17713 is zero. There are infinitely many multiples of 17713. The smallest multiples of 17713 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 17713 too, since 0 × 17713 = 0
• 17713: indeed, 17713 is a multiple of itself, since 17713 is evenly divisible by 17713 (we have 17713 / 17713 = 1, so the remainder of this division is indeed zero)
• 35 426: indeed, 35 426 = 17713 × 2
• 53 139: indeed, 53 139 = 17713 × 3
• 70 852: indeed, 70 852 = 17713 × 4
• 88 565: indeed, 88 565 = 17713 × 5
• etc.

## Nearest numbers from 17713

Find out whether some integer is a prime number