Is 9601 a prime number? What are the divisors of 9601?

## Is 9601 a prime number?

Yes, 9601 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 9601, the only two divisors are 1 and 9601. Therefore 9601 is a prime number.

As a consequence, 9601 is only a multiple of 1 and 9601.

Since 9601 is a prime number, 9601 is also a deficient number, that is to say 9601 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9601 without 9601 itself (that is 1, by definition!).

## Parity of 9601

9601 is an odd number, because it is not evenly divisible by 2.

## Is 9601 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 9601 is about 97.985.

Thus, the square root of 9601 is not an integer, and therefore 9601 is not a square number.

Anyway, 9601 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9601?

The square of a number (here 9601) is the result of the product of this number (9601) by itself (i.e., 9601 × 9601); the square of 9601 is sometimes called "raising 9601 to the power 2", or "9601 squared".

The square of 9601 is 92 179 201 because 9601 × 9601 = 96012 = 92 179 201.

As a consequence, 9601 is the square root of 92 179 201.

## Number of digits of 9601

9601 is a number with 4 digits.

## What are the multiples of 9601?

The multiples of 9601 are all integers evenly divisible by 9601, that is all numbers such that the remainder of the division by 9601 is zero. There are infinitely many multiples of 9601. The smallest multiples of 9601 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9601 too, since 0 × 9601 = 0
• 9601: indeed, 9601 is a multiple of itself, since 9601 is evenly divisible by 9601 (we have 9601 / 9601 = 1, so the remainder of this division is indeed zero)
• 19 202: indeed, 19 202 = 9601 × 2
• 28 803: indeed, 28 803 = 9601 × 3
• 38 404: indeed, 38 404 = 9601 × 4
• 48 005: indeed, 48 005 = 9601 × 5
• etc.

## Nearest numbers from 9601

Find out whether some integer is a prime number