53805 has 16 divisors (see below), whose sum is σ = 91584. Its totient is φ = 26880.

The previous prime is 53791. The next prime is 53813. The reversal of 53805 is 50835.

53805 is nontrivially palindromic in base 16.

53805 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53805 - 2⁵ = 53773 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (5724).

2⁵³⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

53805 is a deficient number, since it is larger than the sum of its proper divisors (37779).

53805 is a wasteful number, since it uses less digits than its factorization.

53805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 53805 is about 231.9590481098. The cubic root of 53805 is about 37.7520794726.

It can be divided in two parts, 53 and 805, that added together give a palindrome (858).

The spelling of 53805 in words is "fifty-three thousand, eight hundred five".