5805 has 16 divisors (see below), whose sum is σ = 10560. Its totient is φ = 3024.

The previous prime is 5801. The next prime is 5807. The reversal of 5805 is 5085.

5805 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 5805 - 2² = 5801 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114 + ... + 156.

It is an arithmetic number, because the mean of its divisors is an integer number (660).

2⁵⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

5805 is a deficient number, since it is larger than the sum of its proper divisors (4755).

5805 is a wasteful number, since it uses less digits than its factorization.

5805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5805 is about 76.1905505952. The cubic root of 5805 is about 17.9721792447.

It can be divided in two parts, 580 and 5, that added together give a palindrome (585).

The spelling of 5805 in words is "five thousand, eight hundred five".