Is 9041 a prime number? What are the divisors of 9041?

## Is 9041 a prime number?

Yes, 9041 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 9041, the only two divisors are 1 and 9041. Therefore 9041 is a prime number.

As a consequence, 9041 is only a multiple of 1 and 9041.

Since 9041 is a prime number, 9041 is also a deficient number, that is to say 9041 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9041 without 9041 itself (that is 1, by definition!).

## Parity of 9041

9041 is an odd number, because it is not evenly divisible by 2.

## Is 9041 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 9041 is about 95.084.

Thus, the square root of 9041 is not an integer, and therefore 9041 is not a square number.

Anyway, 9041 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9041?

The square of a number (here 9041) is the result of the product of this number (9041) by itself (i.e., 9041 × 9041); the square of 9041 is sometimes called "raising 9041 to the power 2", or "9041 squared".

The square of 9041 is 81 739 681 because 9041 × 9041 = 90412 = 81 739 681.

As a consequence, 9041 is the square root of 81 739 681.

## Number of digits of 9041

9041 is a number with 4 digits.

## What are the multiples of 9041?

The multiples of 9041 are all integers evenly divisible by 9041, that is all numbers such that the remainder of the division by 9041 is zero. There are infinitely many multiples of 9041. The smallest multiples of 9041 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9041 too, since 0 × 9041 = 0
• 9041: indeed, 9041 is a multiple of itself, since 9041 is evenly divisible by 9041 (we have 9041 / 9041 = 1, so the remainder of this division is indeed zero)
• 18 082: indeed, 18 082 = 9041 × 2
• 27 123: indeed, 27 123 = 9041 × 3
• 36 164: indeed, 36 164 = 9041 × 4
• 45 205: indeed, 45 205 = 9041 × 5
• etc.

## Nearest numbers from 9041

Find out whether some integer is a prime number