Is 33713 a prime number? What are the divisors of 33713?

## Is 33713 a prime number?

Yes, 33713 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 33713, the only two divisors are 1 and 33713. Therefore 33713 is a prime number.

As a consequence, 33713 is only a multiple of 1 and 33713.

Since 33713 is a prime number, 33713 is also a deficient number, that is to say 33713 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33713 without 33713 itself (that is 1, by definition!).

## Parity of 33713

33713 is an odd number, because it is not evenly divisible by 2.

## Is 33713 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 33713 is about 183.611.

Thus, the square root of 33713 is not an integer, and therefore 33713 is not a square number.

Anyway, 33713 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 33713?

The square of a number (here 33713) is the result of the product of this number (33713) by itself (i.e., 33713 × 33713); the square of 33713 is sometimes called "raising 33713 to the power 2", or "33713 squared".

The square of 33713 is 1 136 566 369 because 33713 × 33713 = 337132 = 1 136 566 369.

As a consequence, 33713 is the square root of 1 136 566 369.

## Number of digits of 33713

33713 is a number with 5 digits.

## What are the multiples of 33713?

The multiples of 33713 are all integers evenly divisible by 33713, that is all numbers such that the remainder of the division by 33713 is zero. There are infinitely many multiples of 33713. The smallest multiples of 33713 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 33713 too, since 0 × 33713 = 0
• 33713: indeed, 33713 is a multiple of itself, since 33713 is evenly divisible by 33713 (we have 33713 / 33713 = 1, so the remainder of this division is indeed zero)
• 67 426: indeed, 67 426 = 33713 × 2
• 101 139: indeed, 101 139 = 33713 × 3
• 134 852: indeed, 134 852 = 33713 × 4
• 168 565: indeed, 168 565 = 33713 × 5
• etc.

## Nearest numbers from 33713

Find out whether some integer is a prime number