Is 9661 a prime number? What are the divisors of 9661?

## Is 9661 a prime number?

Yes, 9661 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 9661, the only two divisors are 1 and 9661. Therefore 9661 is a prime number.

As a consequence, 9661 is only a multiple of 1 and 9661.

Since 9661 is a prime number, 9661 is also a deficient number, that is to say 9661 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9661 without 9661 itself (that is 1, by definition!).

## Parity of 9661

9661 is an odd number, because it is not evenly divisible by 2.

## Is 9661 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 9661 is about 98.290.

Thus, the square root of 9661 is not an integer, and therefore 9661 is not a square number.

Anyway, 9661 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9661?

The square of a number (here 9661) is the result of the product of this number (9661) by itself (i.e., 9661 × 9661); the square of 9661 is sometimes called "raising 9661 to the power 2", or "9661 squared".

The square of 9661 is 93 334 921 because 9661 × 9661 = 96612 = 93 334 921.

As a consequence, 9661 is the square root of 93 334 921.

## Number of digits of 9661

9661 is a number with 4 digits.

## What are the multiples of 9661?

The multiples of 9661 are all integers evenly divisible by 9661, that is all numbers such that the remainder of the division by 9661 is zero. There are infinitely many multiples of 9661. The smallest multiples of 9661 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9661 too, since 0 × 9661 = 0
• 9661: indeed, 9661 is a multiple of itself, since 9661 is evenly divisible by 9661 (we have 9661 / 9661 = 1, so the remainder of this division is indeed zero)
• 19 322: indeed, 19 322 = 9661 × 2
• 28 983: indeed, 28 983 = 9661 × 3
• 38 644: indeed, 38 644 = 9661 × 4
• 48 305: indeed, 48 305 = 9661 × 5
• etc.

## Nearest numbers from 9661

Find out whether some integer is a prime number