Is 9497 a prime number? What are the divisors of 9497?

## Is 9497 a prime number?

Yes, 9497 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 9497, the only two divisors are 1 and 9497. Therefore 9497 is a prime number.

As a consequence, 9497 is only a multiple of 1 and 9497.

Since 9497 is a prime number, 9497 is also a deficient number, that is to say 9497 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9497 without 9497 itself (that is 1, by definition!).

## Parity of 9497

9497 is an odd number, because it is not evenly divisible by 2.

## Is 9497 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 9497 is about 97.453.

Thus, the square root of 9497 is not an integer, and therefore 9497 is not a square number.

Anyway, 9497 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9497?

The square of a number (here 9497) is the result of the product of this number (9497) by itself (i.e., 9497 × 9497); the square of 9497 is sometimes called "raising 9497 to the power 2", or "9497 squared".

The square of 9497 is 90 193 009 because 9497 × 9497 = 94972 = 90 193 009.

As a consequence, 9497 is the square root of 90 193 009.

## Number of digits of 9497

9497 is a number with 4 digits.

## What are the multiples of 9497?

The multiples of 9497 are all integers evenly divisible by 9497, that is all numbers such that the remainder of the division by 9497 is zero. There are infinitely many multiples of 9497. The smallest multiples of 9497 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9497 too, since 0 × 9497 = 0
• 9497: indeed, 9497 is a multiple of itself, since 9497 is evenly divisible by 9497 (we have 9497 / 9497 = 1, so the remainder of this division is indeed zero)
• 18 994: indeed, 18 994 = 9497 × 2
• 28 491: indeed, 28 491 = 9497 × 3
• 37 988: indeed, 37 988 = 9497 × 4
• 47 485: indeed, 47 485 = 9497 × 5
• etc.

## Nearest numbers from 9497

Find out whether some integer is a prime number