Is 9613 a prime number? What are the divisors of 9613?

## Is 9613 a prime number?

Yes, 9613 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 9613, the only two divisors are 1 and 9613. Therefore 9613 is a prime number.

As a consequence, 9613 is only a multiple of 1 and 9613.

Since 9613 is a prime number, 9613 is also a deficient number, that is to say 9613 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9613 without 9613 itself (that is 1, by definition!).

## Parity of 9613

9613 is an odd number, because it is not evenly divisible by 2.

## Is 9613 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 9613 is about 98.046.

Thus, the square root of 9613 is not an integer, and therefore 9613 is not a square number.

Anyway, 9613 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9613?

The square of a number (here 9613) is the result of the product of this number (9613) by itself (i.e., 9613 × 9613); the square of 9613 is sometimes called "raising 9613 to the power 2", or "9613 squared".

The square of 9613 is 92 409 769 because 9613 × 9613 = 96132 = 92 409 769.

As a consequence, 9613 is the square root of 92 409 769.

## Number of digits of 9613

9613 is a number with 4 digits.

## What are the multiples of 9613?

The multiples of 9613 are all integers evenly divisible by 9613, that is all numbers such that the remainder of the division by 9613 is zero. There are infinitely many multiples of 9613. The smallest multiples of 9613 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9613 too, since 0 × 9613 = 0
• 9613: indeed, 9613 is a multiple of itself, since 9613 is evenly divisible by 9613 (we have 9613 / 9613 = 1, so the remainder of this division is indeed zero)
• 19 226: indeed, 19 226 = 9613 × 2
• 28 839: indeed, 28 839 = 9613 × 3
• 38 452: indeed, 38 452 = 9613 × 4
• 48 065: indeed, 48 065 = 9613 × 5
• etc.

## Nearest numbers from 9613

Find out whether some integer is a prime number