53865 has 40 divisors (see below), whose sum is σ = 116160. Its totient is φ = 23328.

The previous prime is 53861. The next prime is 53881. The reversal of 53865 is 56835.

53865 is nontrivially palindromic in base 8.

53865 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53865 - 2² = 53861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

53865 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (53861) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2826 + ... + 2844.

It is an arithmetic number, because the mean of its divisors is an integer number (2904).

53865 is a Friedman number, since it can be written as 855*63, using all its digits and the basic arithmetic operations.

2⁵³⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

53865 is an abundant number, since it is smaller than the sum of its proper divisors (62295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58080).

53865 is a wasteful number, since it uses less digits than its factorization.

53865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 34 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53865 is about 232.0883452481. The cubic root of 53865 is about 37.7661071857.

The spelling of 53865 in words is "fifty-three thousand, eight hundred sixty-five".