Is 9007 a prime number? What are the divisors of 9007?

## Is 9007 a prime number?

Yes, 9007 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 9007, the only two divisors are 1 and 9007. Therefore 9007 is a prime number.

As a consequence, 9007 is only a multiple of 1 and 9007.

Since 9007 is a prime number, 9007 is also a deficient number, that is to say 9007 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9007 without 9007 itself (that is 1, by definition!).

## Parity of 9007

9007 is an odd number, because it is not evenly divisible by 2.

## Is 9007 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 9007 is about 94.905.

Thus, the square root of 9007 is not an integer, and therefore 9007 is not a square number.

Anyway, 9007 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9007?

The square of a number (here 9007) is the result of the product of this number (9007) by itself (i.e., 9007 × 9007); the square of 9007 is sometimes called "raising 9007 to the power 2", or "9007 squared".

The square of 9007 is 81 126 049 because 9007 × 9007 = 90072 = 81 126 049.

As a consequence, 9007 is the square root of 81 126 049.

## Number of digits of 9007

9007 is a number with 4 digits.

## What are the multiples of 9007?

The multiples of 9007 are all integers evenly divisible by 9007, that is all numbers such that the remainder of the division by 9007 is zero. There are infinitely many multiples of 9007. The smallest multiples of 9007 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9007 too, since 0 × 9007 = 0
• 9007: indeed, 9007 is a multiple of itself, since 9007 is evenly divisible by 9007 (we have 9007 / 9007 = 1, so the remainder of this division is indeed zero)
• 18 014: indeed, 18 014 = 9007 × 2
• 27 021: indeed, 27 021 = 9007 × 3
• 36 028: indeed, 36 028 = 9007 × 4
• 45 035: indeed, 45 035 = 9007 × 5
• etc.

## Nearest numbers from 9007

Find out whether some integer is a prime number