Is 9397 a prime number? What are the divisors of 9397?

## Is 9397 a prime number?

Yes, 9397 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 9397, the only two divisors are 1 and 9397. Therefore 9397 is a prime number.

As a consequence, 9397 is only a multiple of 1 and 9397.

Since 9397 is a prime number, 9397 is also a deficient number, that is to say 9397 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9397 without 9397 itself (that is 1, by definition!).

## Parity of 9397

9397 is an odd number, because it is not evenly divisible by 2.

## Is 9397 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 9397 is about 96.938.

Thus, the square root of 9397 is not an integer, and therefore 9397 is not a square number.

Anyway, 9397 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9397?

The square of a number (here 9397) is the result of the product of this number (9397) by itself (i.e., 9397 × 9397); the square of 9397 is sometimes called "raising 9397 to the power 2", or "9397 squared".

The square of 9397 is 88 303 609 because 9397 × 9397 = 93972 = 88 303 609.

As a consequence, 9397 is the square root of 88 303 609.

## Number of digits of 9397

9397 is a number with 4 digits.

## What are the multiples of 9397?

The multiples of 9397 are all integers evenly divisible by 9397, that is all numbers such that the remainder of the division by 9397 is zero. There are infinitely many multiples of 9397. The smallest multiples of 9397 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9397 too, since 0 × 9397 = 0
• 9397: indeed, 9397 is a multiple of itself, since 9397 is evenly divisible by 9397 (we have 9397 / 9397 = 1, so the remainder of this division is indeed zero)
• 18 794: indeed, 18 794 = 9397 × 2
• 28 191: indeed, 28 191 = 9397 × 3
• 37 588: indeed, 37 588 = 9397 × 4
• 46 985: indeed, 46 985 = 9397 × 5
• etc.

## Nearest numbers from 9397

Find out whether some integer is a prime number