Is 9371 a prime number? What are the divisors of 9371?

## Is 9371 a prime number?

Yes, 9371 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 9371, the only two divisors are 1 and 9371. Therefore 9371 is a prime number.

As a consequence, 9371 is only a multiple of 1 and 9371.

Since 9371 is a prime number, 9371 is also a deficient number, that is to say 9371 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9371 without 9371 itself (that is 1, by definition!).

## Parity of 9371

9371 is an odd number, because it is not evenly divisible by 2.

## Is 9371 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 9371 is about 96.804.

Thus, the square root of 9371 is not an integer, and therefore 9371 is not a square number.

Anyway, 9371 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9371?

The square of a number (here 9371) is the result of the product of this number (9371) by itself (i.e., 9371 × 9371); the square of 9371 is sometimes called "raising 9371 to the power 2", or "9371 squared".

The square of 9371 is 87 815 641 because 9371 × 9371 = 93712 = 87 815 641.

As a consequence, 9371 is the square root of 87 815 641.

## Number of digits of 9371

9371 is a number with 4 digits.

## What are the multiples of 9371?

The multiples of 9371 are all integers evenly divisible by 9371, that is all numbers such that the remainder of the division by 9371 is zero. There are infinitely many multiples of 9371. The smallest multiples of 9371 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9371 too, since 0 × 9371 = 0
• 9371: indeed, 9371 is a multiple of itself, since 9371 is evenly divisible by 9371 (we have 9371 / 9371 = 1, so the remainder of this division is indeed zero)
• 18 742: indeed, 18 742 = 9371 × 2
• 28 113: indeed, 28 113 = 9371 × 3
• 37 484: indeed, 37 484 = 9371 × 4
• 46 855: indeed, 46 855 = 9371 × 5
• etc.

## Nearest numbers from 9371

Find out whether some integer is a prime number