Is 11801 a prime number? What are the divisors of 11801?

## Is 11801 a prime number?

Yes, 11801 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 11801, the only two divisors are 1 and 11801. Therefore 11801 is a prime number.

As a consequence, 11801 is only a multiple of 1 and 11801.

Since 11801 is a prime number, 11801 is also a deficient number, that is to say 11801 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11801 without 11801 itself (that is 1, by definition!).

## Parity of 11801

11801 is an odd number, because it is not evenly divisible by 2.

## Is 11801 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 11801 is about 108.632.

Thus, the square root of 11801 is not an integer, and therefore 11801 is not a square number.

Anyway, 11801 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11801?

The square of a number (here 11801) is the result of the product of this number (11801) by itself (i.e., 11801 × 11801); the square of 11801 is sometimes called "raising 11801 to the power 2", or "11801 squared".

The square of 11801 is 139 263 601 because 11801 × 11801 = 118012 = 139 263 601.

As a consequence, 11801 is the square root of 139 263 601.

## Number of digits of 11801

11801 is a number with 5 digits.

## What are the multiples of 11801?

The multiples of 11801 are all integers evenly divisible by 11801, that is all numbers such that the remainder of the division by 11801 is zero. There are infinitely many multiples of 11801. The smallest multiples of 11801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11801 too, since 0 × 11801 = 0
• 11801: indeed, 11801 is a multiple of itself, since 11801 is evenly divisible by 11801 (we have 11801 / 11801 = 1, so the remainder of this division is indeed zero)
• 23 602: indeed, 23 602 = 11801 × 2
• 35 403: indeed, 35 403 = 11801 × 3
• 47 204: indeed, 47 204 = 11801 × 4
• 59 005: indeed, 59 005 = 11801 × 5
• etc.

## Nearest numbers from 11801

Find out whether some integer is a prime number