Is 9677 a prime number? What are the divisors of 9677?

## Is 9677 a prime number?

Yes, 9677 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 9677, the only two divisors are 1 and 9677. Therefore 9677 is a prime number.

As a consequence, 9677 is only a multiple of 1 and 9677.

Since 9677 is a prime number, 9677 is also a deficient number, that is to say 9677 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9677 without 9677 itself (that is 1, by definition!).

## Parity of 9677

9677 is an odd number, because it is not evenly divisible by 2.

## Is 9677 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 9677 is about 98.372.

Thus, the square root of 9677 is not an integer, and therefore 9677 is not a square number.

Anyway, 9677 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9677?

The square of a number (here 9677) is the result of the product of this number (9677) by itself (i.e., 9677 × 9677); the square of 9677 is sometimes called "raising 9677 to the power 2", or "9677 squared".

The square of 9677 is 93 644 329 because 9677 × 9677 = 96772 = 93 644 329.

As a consequence, 9677 is the square root of 93 644 329.

## Number of digits of 9677

9677 is a number with 4 digits.

## What are the multiples of 9677?

The multiples of 9677 are all integers evenly divisible by 9677, that is all numbers such that the remainder of the division by 9677 is zero. There are infinitely many multiples of 9677. The smallest multiples of 9677 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9677 too, since 0 × 9677 = 0
• 9677: indeed, 9677 is a multiple of itself, since 9677 is evenly divisible by 9677 (we have 9677 / 9677 = 1, so the remainder of this division is indeed zero)
• 19 354: indeed, 19 354 = 9677 × 2
• 29 031: indeed, 29 031 = 9677 × 3
• 38 708: indeed, 38 708 = 9677 × 4
• 48 385: indeed, 48 385 = 9677 × 5
• etc.

## Nearest numbers from 9677

Find out whether some integer is a prime number