Is 9769 a prime number? What are the divisors of 9769?

## Is 9769 a prime number?

Yes, 9769 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 9769, the only two divisors are 1 and 9769. Therefore 9769 is a prime number.

As a consequence, 9769 is only a multiple of 1 and 9769.

Since 9769 is a prime number, 9769 is also a deficient number, that is to say 9769 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9769 without 9769 itself (that is 1, by definition!).

## Parity of 9769

9769 is an odd number, because it is not evenly divisible by 2.

## Is 9769 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 9769 is about 98.838.

Thus, the square root of 9769 is not an integer, and therefore 9769 is not a square number.

Anyway, 9769 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9769?

The square of a number (here 9769) is the result of the product of this number (9769) by itself (i.e., 9769 × 9769); the square of 9769 is sometimes called "raising 9769 to the power 2", or "9769 squared".

The square of 9769 is 95 433 361 because 9769 × 9769 = 97692 = 95 433 361.

As a consequence, 9769 is the square root of 95 433 361.

## Number of digits of 9769

9769 is a number with 4 digits.

## What are the multiples of 9769?

The multiples of 9769 are all integers evenly divisible by 9769, that is all numbers such that the remainder of the division by 9769 is zero. There are infinitely many multiples of 9769. The smallest multiples of 9769 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9769 too, since 0 × 9769 = 0
• 9769: indeed, 9769 is a multiple of itself, since 9769 is evenly divisible by 9769 (we have 9769 / 9769 = 1, so the remainder of this division is indeed zero)
• 19 538: indeed, 19 538 = 9769 × 2
• 29 307: indeed, 29 307 = 9769 × 3
• 39 076: indeed, 39 076 = 9769 × 4
• 48 845: indeed, 48 845 = 9769 × 5
• etc.

## Nearest numbers from 9769

Find out whether some integer is a prime number