11805 has 8 divisors (see below), whose sum is σ = 18912. Its totient is φ = 6288.

The previous prime is 11801. The next prime is 11807. The reversal of 11805 is 50811.

It is a happy number.

11805 is nontrivially palindromic in base 2.

11805 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11805 - 2² = 11801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 787 = 11805 / (1 + 1 + 8 + 0 + 5).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (2364).

2¹¹⁸⁰⁵ is an apocalyptic number.

11805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11805 is a deficient number, since it is larger than the sum of its proper divisors (7107).

11805 is an equidigital number, since it uses as much as digits as its factorization.

11805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 11805 is about 108.6508168400. The cubic root of 11805 is about 22.7695962861.

11805 divided by its sum of digits (15) gives a palindrome (787).

The spelling of 11805 in words is "eleven thousand, eight hundred five".