Is 9721 a prime number? What are the divisors of 9721?

## Is 9721 a prime number?

Yes, 9721 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 9721, the only two divisors are 1 and 9721. Therefore 9721 is a prime number.

As a consequence, 9721 is only a multiple of 1 and 9721.

Since 9721 is a prime number, 9721 is also a deficient number, that is to say 9721 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9721 without 9721 itself (that is 1, by definition!).

## Parity of 9721

9721 is an odd number, because it is not evenly divisible by 2.

## Is 9721 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 9721 is about 98.595.

Thus, the square root of 9721 is not an integer, and therefore 9721 is not a square number.

Anyway, 9721 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9721?

The square of a number (here 9721) is the result of the product of this number (9721) by itself (i.e., 9721 × 9721); the square of 9721 is sometimes called "raising 9721 to the power 2", or "9721 squared".

The square of 9721 is 94 497 841 because 9721 × 9721 = 97212 = 94 497 841.

As a consequence, 9721 is the square root of 94 497 841.

## Number of digits of 9721

9721 is a number with 4 digits.

## What are the multiples of 9721?

The multiples of 9721 are all integers evenly divisible by 9721, that is all numbers such that the remainder of the division by 9721 is zero. There are infinitely many multiples of 9721. The smallest multiples of 9721 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9721 too, since 0 × 9721 = 0
• 9721: indeed, 9721 is a multiple of itself, since 9721 is evenly divisible by 9721 (we have 9721 / 9721 = 1, so the remainder of this division is indeed zero)
• 19 442: indeed, 19 442 = 9721 × 2
• 29 163: indeed, 29 163 = 9721 × 3
• 38 884: indeed, 38 884 = 9721 × 4
• 48 605: indeed, 48 605 = 9721 × 5
• etc.

## Nearest numbers from 9721

Find out whether some integer is a prime number