Is 18013 a prime number? What are the divisors of 18013?

## Is 18013 a prime number?

Yes, 18013 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 18013, the only two divisors are 1 and 18013. Therefore 18013 is a prime number.

As a consequence, 18013 is only a multiple of 1 and 18013.

Since 18013 is a prime number, 18013 is also a deficient number, that is to say 18013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 18013 without 18013 itself (that is 1, by definition!).

## Parity of 18013

18013 is an odd number, because it is not evenly divisible by 2.

## Is 18013 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 18013 is about 134.213.

Thus, the square root of 18013 is not an integer, and therefore 18013 is not a square number.

Anyway, 18013 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 18013?

The square of a number (here 18013) is the result of the product of this number (18013) by itself (i.e., 18013 × 18013); the square of 18013 is sometimes called "raising 18013 to the power 2", or "18013 squared".

The square of 18013 is 324 468 169 because 18013 × 18013 = 180132 = 324 468 169.

As a consequence, 18013 is the square root of 324 468 169.

## Number of digits of 18013

18013 is a number with 5 digits.

## What are the multiples of 18013?

The multiples of 18013 are all integers evenly divisible by 18013, that is all numbers such that the remainder of the division by 18013 is zero. There are infinitely many multiples of 18013. The smallest multiples of 18013 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 18013 too, since 0 × 18013 = 0
• 18013: indeed, 18013 is a multiple of itself, since 18013 is evenly divisible by 18013 (we have 18013 / 18013 = 1, so the remainder of this division is indeed zero)
• 36 026: indeed, 36 026 = 18013 × 2
• 54 039: indeed, 54 039 = 18013 × 3
• 72 052: indeed, 72 052 = 18013 × 4
• 90 065: indeed, 90 065 = 18013 × 5
• etc.

## Nearest numbers from 18013

Find out whether some integer is a prime number