Is 9883 a prime number? What are the divisors of 9883?

## Is 9883 a prime number?

Yes, 9883 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 9883, the only two divisors are 1 and 9883. Therefore 9883 is a prime number.

As a consequence, 9883 is only a multiple of 1 and 9883.

Since 9883 is a prime number, 9883 is also a deficient number, that is to say 9883 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9883 without 9883 itself (that is 1, by definition!).

## Parity of 9883

9883 is an odd number, because it is not evenly divisible by 2.

## Is 9883 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 9883 is about 99.413.

Thus, the square root of 9883 is not an integer, and therefore 9883 is not a square number.

Anyway, 9883 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9883?

The square of a number (here 9883) is the result of the product of this number (9883) by itself (i.e., 9883 × 9883); the square of 9883 is sometimes called "raising 9883 to the power 2", or "9883 squared".

The square of 9883 is 97 673 689 because 9883 × 9883 = 98832 = 97 673 689.

As a consequence, 9883 is the square root of 97 673 689.

## Number of digits of 9883

9883 is a number with 4 digits.

## What are the multiples of 9883?

The multiples of 9883 are all integers evenly divisible by 9883, that is all numbers such that the remainder of the division by 9883 is zero. There are infinitely many multiples of 9883. The smallest multiples of 9883 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9883 too, since 0 × 9883 = 0
• 9883: indeed, 9883 is a multiple of itself, since 9883 is evenly divisible by 9883 (we have 9883 / 9883 = 1, so the remainder of this division is indeed zero)
• 19 766: indeed, 19 766 = 9883 × 2
• 29 649: indeed, 29 649 = 9883 × 3
• 39 532: indeed, 39 532 = 9883 × 4
• 49 415: indeed, 49 415 = 9883 × 5
• etc.

## Nearest numbers from 9883

Find out whether some integer is a prime number