Is 9013 a prime number? What are the divisors of 9013?

## Is 9013 a prime number?

Yes, 9013 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 9013, the only two divisors are 1 and 9013. Therefore 9013 is a prime number.

As a consequence, 9013 is only a multiple of 1 and 9013.

Since 9013 is a prime number, 9013 is also a deficient number, that is to say 9013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9013 without 9013 itself (that is 1, by definition!).

## Parity of 9013

9013 is an odd number, because it is not evenly divisible by 2.

## Is 9013 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 9013 is about 94.937.

Thus, the square root of 9013 is not an integer, and therefore 9013 is not a square number.

Anyway, 9013 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9013?

The square of a number (here 9013) is the result of the product of this number (9013) by itself (i.e., 9013 × 9013); the square of 9013 is sometimes called "raising 9013 to the power 2", or "9013 squared".

The square of 9013 is 81 234 169 because 9013 × 9013 = 90132 = 81 234 169.

As a consequence, 9013 is the square root of 81 234 169.

## Number of digits of 9013

9013 is a number with 4 digits.

## What are the multiples of 9013?

The multiples of 9013 are all integers evenly divisible by 9013, that is all numbers such that the remainder of the division by 9013 is zero. There are infinitely many multiples of 9013. The smallest multiples of 9013 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9013 too, since 0 × 9013 = 0
• 9013: indeed, 9013 is a multiple of itself, since 9013 is evenly divisible by 9013 (we have 9013 / 9013 = 1, so the remainder of this division is indeed zero)
• 18 026: indeed, 18 026 = 9013 × 2
• 27 039: indeed, 27 039 = 9013 × 3
• 36 052: indeed, 36 052 = 9013 × 4
• 45 065: indeed, 45 065 = 9013 × 5
• etc.

## Nearest numbers from 9013

Find out whether some integer is a prime number