203085 has 12 divisors (see below), whose sum is σ = 352092. Its totient is φ = 108288.

The previous prime is 203057. The next prime is 203117. The reversal of 203085 is 580302.

203085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 181476 = 147^2 + 426^2 .

It is not a de Polignac number, because 203085 - 2¹⁰ = 202061 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203085.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2212 + ... + 2301.

It is an arithmetic number, because the mean of its divisors is an integer number (29341).

2²⁰³⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

203085 is a deficient number, since it is larger than the sum of its proper divisors (149007).

203085 is a wasteful number, since it uses less digits than its factorization.

203085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 203085 is about 450.6495312324. The cubic root of 203085 is about 58.7795083392.

Adding to 203085 its reverse (580302), we get a palindrome (783387).

The spelling of 203085 in words is "two hundred three thousand, eighty-five".