Is 9091 a prime number? What are the divisors of 9091?

## Is 9091 a prime number?

Yes, 9091 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 9091, the only two divisors are 1 and 9091. Therefore 9091 is a prime number.

As a consequence, 9091 is only a multiple of 1 and 9091.

Since 9091 is a prime number, 9091 is also a deficient number, that is to say 9091 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9091 without 9091 itself (that is 1, by definition!).

## Parity of 9091

9091 is an odd number, because it is not evenly divisible by 2.

## Is 9091 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 9091 is about 95.347.

Thus, the square root of 9091 is not an integer, and therefore 9091 is not a square number.

Anyway, 9091 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9091?

The square of a number (here 9091) is the result of the product of this number (9091) by itself (i.e., 9091 × 9091); the square of 9091 is sometimes called "raising 9091 to the power 2", or "9091 squared".

The square of 9091 is 82 646 281 because 9091 × 9091 = 90912 = 82 646 281.

As a consequence, 9091 is the square root of 82 646 281.

## Number of digits of 9091

9091 is a number with 4 digits.

## What are the multiples of 9091?

The multiples of 9091 are all integers evenly divisible by 9091, that is all numbers such that the remainder of the division by 9091 is zero. There are infinitely many multiples of 9091. The smallest multiples of 9091 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9091 too, since 0 × 9091 = 0
• 9091: indeed, 9091 is a multiple of itself, since 9091 is evenly divisible by 9091 (we have 9091 / 9091 = 1, so the remainder of this division is indeed zero)
• 18 182: indeed, 18 182 = 9091 × 2
• 27 273: indeed, 27 273 = 9091 × 3
• 36 364: indeed, 36 364 = 9091 × 4
• 45 455: indeed, 45 455 = 9091 × 5
• etc.

## Nearest numbers from 9091

Find out whether some integer is a prime number