Is 9109 a prime number? What are the divisors of 9109?

## Is 9109 a prime number?

Yes, 9109 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 9109, the only two divisors are 1 and 9109. Therefore 9109 is a prime number.

As a consequence, 9109 is only a multiple of 1 and 9109.

Since 9109 is a prime number, 9109 is also a deficient number, that is to say 9109 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9109 without 9109 itself (that is 1, by definition!).

## Parity of 9109

9109 is an odd number, because it is not evenly divisible by 2.

## Is 9109 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 9109 is about 95.441.

Thus, the square root of 9109 is not an integer, and therefore 9109 is not a square number.

Anyway, 9109 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9109?

The square of a number (here 9109) is the result of the product of this number (9109) by itself (i.e., 9109 × 9109); the square of 9109 is sometimes called "raising 9109 to the power 2", or "9109 squared".

The square of 9109 is 82 973 881 because 9109 × 9109 = 91092 = 82 973 881.

As a consequence, 9109 is the square root of 82 973 881.

## Number of digits of 9109

9109 is a number with 4 digits.

## What are the multiples of 9109?

The multiples of 9109 are all integers evenly divisible by 9109, that is all numbers such that the remainder of the division by 9109 is zero. There are infinitely many multiples of 9109. The smallest multiples of 9109 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9109 too, since 0 × 9109 = 0
• 9109: indeed, 9109 is a multiple of itself, since 9109 is evenly divisible by 9109 (we have 9109 / 9109 = 1, so the remainder of this division is indeed zero)
• 18 218: indeed, 18 218 = 9109 × 2
• 27 327: indeed, 27 327 = 9109 × 3
• 36 436: indeed, 36 436 = 9109 × 4
• 45 545: indeed, 45 545 = 9109 × 5
• etc.

## Nearest numbers from 9109

Find out whether some integer is a prime number