Is 9391 a prime number? What are the divisors of 9391?

## Is 9391 a prime number?

Yes, 9391 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 9391, the only two divisors are 1 and 9391. Therefore 9391 is a prime number.

As a consequence, 9391 is only a multiple of 1 and 9391.

Since 9391 is a prime number, 9391 is also a deficient number, that is to say 9391 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9391 without 9391 itself (that is 1, by definition!).

## Parity of 9391

9391 is an odd number, because it is not evenly divisible by 2.

## Is 9391 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 9391 is about 96.907.

Thus, the square root of 9391 is not an integer, and therefore 9391 is not a square number.

Anyway, 9391 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9391?

The square of a number (here 9391) is the result of the product of this number (9391) by itself (i.e., 9391 × 9391); the square of 9391 is sometimes called "raising 9391 to the power 2", or "9391 squared".

The square of 9391 is 88 190 881 because 9391 × 9391 = 93912 = 88 190 881.

As a consequence, 9391 is the square root of 88 190 881.

## Number of digits of 9391

9391 is a number with 4 digits.

## What are the multiples of 9391?

The multiples of 9391 are all integers evenly divisible by 9391, that is all numbers such that the remainder of the division by 9391 is zero. There are infinitely many multiples of 9391. The smallest multiples of 9391 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9391 too, since 0 × 9391 = 0
• 9391: indeed, 9391 is a multiple of itself, since 9391 is evenly divisible by 9391 (we have 9391 / 9391 = 1, so the remainder of this division is indeed zero)
• 18 782: indeed, 18 782 = 9391 × 2
• 28 173: indeed, 28 173 = 9391 × 3
• 37 564: indeed, 37 564 = 9391 × 4
• 46 955: indeed, 46 955 = 9391 × 5
• etc.

## Nearest numbers from 9391

Find out whether some integer is a prime number