Is 9011 a prime number? What are the divisors of 9011?

## Is 9011 a prime number?

Yes, 9011 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 9011, the only two divisors are 1 and 9011. Therefore 9011 is a prime number.

As a consequence, 9011 is only a multiple of 1 and 9011.

Since 9011 is a prime number, 9011 is also a deficient number, that is to say 9011 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9011 without 9011 itself (that is 1, by definition!).

## Parity of 9011

9011 is an odd number, because it is not evenly divisible by 2.

## Is 9011 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 9011 is about 94.926.

Thus, the square root of 9011 is not an integer, and therefore 9011 is not a square number.

Anyway, 9011 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9011?

The square of a number (here 9011) is the result of the product of this number (9011) by itself (i.e., 9011 × 9011); the square of 9011 is sometimes called "raising 9011 to the power 2", or "9011 squared".

The square of 9011 is 81 198 121 because 9011 × 9011 = 90112 = 81 198 121.

As a consequence, 9011 is the square root of 81 198 121.

## Number of digits of 9011

9011 is a number with 4 digits.

## What are the multiples of 9011?

The multiples of 9011 are all integers evenly divisible by 9011, that is all numbers such that the remainder of the division by 9011 is zero. There are infinitely many multiples of 9011. The smallest multiples of 9011 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9011 too, since 0 × 9011 = 0
• 9011: indeed, 9011 is a multiple of itself, since 9011 is evenly divisible by 9011 (we have 9011 / 9011 = 1, so the remainder of this division is indeed zero)
• 18 022: indeed, 18 022 = 9011 × 2
• 27 033: indeed, 27 033 = 9011 × 3
• 36 044: indeed, 36 044 = 9011 × 4
• 45 055: indeed, 45 055 = 9011 × 5
• etc.

## Nearest numbers from 9011

Find out whether some integer is a prime number