Is 9001 a prime number? What are the divisors of 9001?

## Is 9001 a prime number?

Yes, 9001 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 9001, the only two divisors are 1 and 9001. Therefore 9001 is a prime number.

As a consequence, 9001 is only a multiple of 1 and 9001.

Since 9001 is a prime number, 9001 is also a deficient number, that is to say 9001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9001 without 9001 itself (that is 1, by definition!).

## Parity of 9001

9001 is an odd number, because it is not evenly divisible by 2.

## Is 9001 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 9001 is about 94.874.

Thus, the square root of 9001 is not an integer, and therefore 9001 is not a square number.

Anyway, 9001 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9001?

The square of a number (here 9001) is the result of the product of this number (9001) by itself (i.e., 9001 × 9001); the square of 9001 is sometimes called "raising 9001 to the power 2", or "9001 squared".

The square of 9001 is 81 018 001 because 9001 × 9001 = 90012 = 81 018 001.

As a consequence, 9001 is the square root of 81 018 001.

## Number of digits of 9001

9001 is a number with 4 digits.

## What are the multiples of 9001?

The multiples of 9001 are all integers evenly divisible by 9001, that is all numbers such that the remainder of the division by 9001 is zero. There are infinitely many multiples of 9001. The smallest multiples of 9001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9001 too, since 0 × 9001 = 0
• 9001: indeed, 9001 is a multiple of itself, since 9001 is evenly divisible by 9001 (we have 9001 / 9001 = 1, so the remainder of this division is indeed zero)
• 18 002: indeed, 18 002 = 9001 × 2
• 27 003: indeed, 27 003 = 9001 × 3
• 36 004: indeed, 36 004 = 9001 × 4
• 45 005: indeed, 45 005 = 9001 × 5
• etc.

## Nearest numbers from 9001

Find out whether some integer is a prime number