Is 9791 a prime number? What are the divisors of 9791?

## Is 9791 a prime number?

Yes, 9791 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 9791, the only two divisors are 1 and 9791. Therefore 9791 is a prime number.

As a consequence, 9791 is only a multiple of 1 and 9791.

Since 9791 is a prime number, 9791 is also a deficient number, that is to say 9791 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9791 without 9791 itself (that is 1, by definition!).

## Parity of 9791

9791 is an odd number, because it is not evenly divisible by 2.

## Is 9791 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 9791 is about 98.949.

Thus, the square root of 9791 is not an integer, and therefore 9791 is not a square number.

Anyway, 9791 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9791?

The square of a number (here 9791) is the result of the product of this number (9791) by itself (i.e., 9791 × 9791); the square of 9791 is sometimes called "raising 9791 to the power 2", or "9791 squared".

The square of 9791 is 95 863 681 because 9791 × 9791 = 97912 = 95 863 681.

As a consequence, 9791 is the square root of 95 863 681.

## Number of digits of 9791

9791 is a number with 4 digits.

## What are the multiples of 9791?

The multiples of 9791 are all integers evenly divisible by 9791, that is all numbers such that the remainder of the division by 9791 is zero. There are infinitely many multiples of 9791. The smallest multiples of 9791 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9791 too, since 0 × 9791 = 0
• 9791: indeed, 9791 is a multiple of itself, since 9791 is evenly divisible by 9791 (we have 9791 / 9791 = 1, so the remainder of this division is indeed zero)
• 19 582: indeed, 19 582 = 9791 × 2
• 29 373: indeed, 29 373 = 9791 × 3
• 39 164: indeed, 39 164 = 9791 × 4
• 48 955: indeed, 48 955 = 9791 × 5
• etc.

## Nearest numbers from 9791

Find out whether some integer is a prime number