Is 9787 a prime number? What are the divisors of 9787?

## Is 9787 a prime number?

Yes, 9787 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 9787, the only two divisors are 1 and 9787. Therefore 9787 is a prime number.

As a consequence, 9787 is only a multiple of 1 and 9787.

Since 9787 is a prime number, 9787 is also a deficient number, that is to say 9787 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9787 without 9787 itself (that is 1, by definition!).

## Parity of 9787

9787 is an odd number, because it is not evenly divisible by 2.

## Is 9787 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 9787 is about 98.929.

Thus, the square root of 9787 is not an integer, and therefore 9787 is not a square number.

Anyway, 9787 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9787?

The square of a number (here 9787) is the result of the product of this number (9787) by itself (i.e., 9787 × 9787); the square of 9787 is sometimes called "raising 9787 to the power 2", or "9787 squared".

The square of 9787 is 95 785 369 because 9787 × 9787 = 97872 = 95 785 369.

As a consequence, 9787 is the square root of 95 785 369.

## Number of digits of 9787

9787 is a number with 4 digits.

## What are the multiples of 9787?

The multiples of 9787 are all integers evenly divisible by 9787, that is all numbers such that the remainder of the division by 9787 is zero. There are infinitely many multiples of 9787. The smallest multiples of 9787 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9787 too, since 0 × 9787 = 0
• 9787: indeed, 9787 is a multiple of itself, since 9787 is evenly divisible by 9787 (we have 9787 / 9787 = 1, so the remainder of this division is indeed zero)
• 19 574: indeed, 19 574 = 9787 × 2
• 29 361: indeed, 29 361 = 9787 × 3
• 39 148: indeed, 39 148 = 9787 × 4
• 48 935: indeed, 48 935 = 9787 × 5
• etc.

## Nearest numbers from 9787

Find out whether some integer is a prime number