Is 9767 a prime number? What are the divisors of 9767?

## Is 9767 a prime number?

Yes, 9767 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 9767, the only two divisors are 1 and 9767. Therefore 9767 is a prime number.

As a consequence, 9767 is only a multiple of 1 and 9767.

Since 9767 is a prime number, 9767 is also a deficient number, that is to say 9767 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9767 without 9767 itself (that is 1, by definition!).

## Parity of 9767

9767 is an odd number, because it is not evenly divisible by 2.

## Is 9767 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 9767 is about 98.828.

Thus, the square root of 9767 is not an integer, and therefore 9767 is not a square number.

Anyway, 9767 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9767?

The square of a number (here 9767) is the result of the product of this number (9767) by itself (i.e., 9767 × 9767); the square of 9767 is sometimes called "raising 9767 to the power 2", or "9767 squared".

The square of 9767 is 95 394 289 because 9767 × 9767 = 97672 = 95 394 289.

As a consequence, 9767 is the square root of 95 394 289.

## Number of digits of 9767

9767 is a number with 4 digits.

## What are the multiples of 9767?

The multiples of 9767 are all integers evenly divisible by 9767, that is all numbers such that the remainder of the division by 9767 is zero. There are infinitely many multiples of 9767. The smallest multiples of 9767 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9767 too, since 0 × 9767 = 0
• 9767: indeed, 9767 is a multiple of itself, since 9767 is evenly divisible by 9767 (we have 9767 / 9767 = 1, so the remainder of this division is indeed zero)
• 19 534: indeed, 19 534 = 9767 × 2
• 29 301: indeed, 29 301 = 9767 × 3
• 39 068: indeed, 39 068 = 9767 × 4
• 48 835: indeed, 48 835 = 9767 × 5
• etc.

## Nearest numbers from 9767

Find out whether some integer is a prime number