## Is 8081 a prime number?

Yes, 8081 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 8081, the only two divisors are 1 and 8081. Therefore 8081 is a prime number.

As a consequence, 8081 is only a multiple of 1 and 8081.

Since 8081 is a prime number, 8081 is also a deficient number, that is to say 8081 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8081 without 8081 itself (that is 1, by definition!).

## Parity of 8081

8081 is an odd number, because it is not evenly divisible by 2.

## Is 8081 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 8081 is about 89.894.

Thus, the square root of 8081 is not an integer, and therefore 8081 is not a square number.

Anyway, 8081 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8081?

The square of a number (here 8081) is the result of the product of this number (8081) by itself (i.e., 8081 × 8081); the square of 8081 is sometimes called "raising 8081 to the power 2", or "8081 squared".

The square of 8081 is 65 302 561 because 8081 × 8081 = 8081^{2} = 65 302 561.

As a consequence, 8081 is the square root of 65 302 561.

## Number of digits of 8081

8081 is a number with 4 digits.

## What are the multiples of 8081?

The multiples of 8081 are all integers evenly divisible by 8081, that is all numbers such that the remainder of the division by 8081 is zero. There are infinitely many multiples of 8081. The smallest multiples of 8081 are:

- 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8081 too, since 0 × 8081 = 0
- 8081: indeed, 8081 is a multiple of itself, since 8081 is evenly divisible by 8081 (we have 8081 / 8081 = 1, so the remainder of this division is indeed zero)
- 16 162: indeed, 16 162 = 8081 × 2
- 24 243: indeed, 24 243 = 8081 × 3
- 32 324: indeed, 32 324 = 8081 × 4
- 40 405: indeed, 40 405 = 8081 × 5
- etc.