203985 has 16 divisors (see below), whose sum is σ = 362880. Its totient is φ = 108720.

The previous prime is 203977. The next prime is 203989. The reversal of 203985 is 589302.

203985 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 203985 - 2³ = 203977 is a prime.

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203985.

It is not an unprimeable number, because it can be changed into a prime (203989) 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, 621 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2²⁰³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

203985 is a deficient number, since it is larger than the sum of its proper divisors (158895).

203985 is a wasteful number, since it uses less digits than its factorization.

203985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 203985 is about 451.6469860411. The cubic root of 203985 is about 58.8662102988.

It can be divided in two parts, 20 and 3985, that added together give a triangular number (4005 = T₈₉).

The spelling of 203985 in words is "two hundred three thousand, nine hundred eighty-five".