Is 9871 a prime number? What are the divisors of 9871?

## Is 9871 a prime number?

Yes, 9871 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 9871, the only two divisors are 1 and 9871. Therefore 9871 is a prime number.

As a consequence, 9871 is only a multiple of 1 and 9871.

Since 9871 is a prime number, 9871 is also a deficient number, that is to say 9871 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9871 without 9871 itself (that is 1, by definition!).

## Parity of 9871

9871 is an odd number, because it is not evenly divisible by 2.

## Is 9871 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 9871 is about 99.353.

Thus, the square root of 9871 is not an integer, and therefore 9871 is not a square number.

Anyway, 9871 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9871?

The square of a number (here 9871) is the result of the product of this number (9871) by itself (i.e., 9871 × 9871); the square of 9871 is sometimes called "raising 9871 to the power 2", or "9871 squared".

The square of 9871 is 97 436 641 because 9871 × 9871 = 98712 = 97 436 641.

As a consequence, 9871 is the square root of 97 436 641.

## Number of digits of 9871

9871 is a number with 4 digits.

## What are the multiples of 9871?

The multiples of 9871 are all integers evenly divisible by 9871, that is all numbers such that the remainder of the division by 9871 is zero. There are infinitely many multiples of 9871. The smallest multiples of 9871 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9871 too, since 0 × 9871 = 0
• 9871: indeed, 9871 is a multiple of itself, since 9871 is evenly divisible by 9871 (we have 9871 / 9871 = 1, so the remainder of this division is indeed zero)
• 19 742: indeed, 19 742 = 9871 × 2
• 29 613: indeed, 29 613 = 9871 × 3
• 39 484: indeed, 39 484 = 9871 × 4
• 49 355: indeed, 49 355 = 9871 × 5
• etc.

## Nearest numbers from 9871

Find out whether some integer is a prime number