Is 9643 a prime number? What are the divisors of 9643?

## Is 9643 a prime number?

Yes, 9643 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 9643, the only two divisors are 1 and 9643. Therefore 9643 is a prime number.

As a consequence, 9643 is only a multiple of 1 and 9643.

Since 9643 is a prime number, 9643 is also a deficient number, that is to say 9643 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9643 without 9643 itself (that is 1, by definition!).

## Parity of 9643

9643 is an odd number, because it is not evenly divisible by 2.

## Is 9643 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 9643 is about 98.199.

Thus, the square root of 9643 is not an integer, and therefore 9643 is not a square number.

Anyway, 9643 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9643?

The square of a number (here 9643) is the result of the product of this number (9643) by itself (i.e., 9643 × 9643); the square of 9643 is sometimes called "raising 9643 to the power 2", or "9643 squared".

The square of 9643 is 92 987 449 because 9643 × 9643 = 96432 = 92 987 449.

As a consequence, 9643 is the square root of 92 987 449.

## Number of digits of 9643

9643 is a number with 4 digits.

## What are the multiples of 9643?

The multiples of 9643 are all integers evenly divisible by 9643, that is all numbers such that the remainder of the division by 9643 is zero. There are infinitely many multiples of 9643. The smallest multiples of 9643 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9643 too, since 0 × 9643 = 0
• 9643: indeed, 9643 is a multiple of itself, since 9643 is evenly divisible by 9643 (we have 9643 / 9643 = 1, so the remainder of this division is indeed zero)
• 19 286: indeed, 19 286 = 9643 × 2
• 28 929: indeed, 28 929 = 9643 × 3
• 38 572: indeed, 38 572 = 9643 × 4
• 48 215: indeed, 48 215 = 9643 × 5
• etc.

## Nearest numbers from 9643

Find out whether some integer is a prime number