205038 has 16 divisors (see below), whose sum is σ = 455760. Its totient is φ = 68328.

The previous prime is 205033. The next prime is 205043. The reversal of 205038 is 830502.

205038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205033) and next prime (205043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 205038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1845 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (28485).

2²⁰⁵⁰³⁸ is an apocalyptic number.

205038 is an abundant number, since it is smaller than the sum of its proper divisors (250722).

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

205038 is a wasteful number, since it uses less digits than its factorization.

205038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3802 counting only the distinct ones).

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

The square root of 205038 is about 452.8112189423. The cubic root of 205038 is about 58.9673284592.

The spelling of 205038 in words is "two hundred five thousand, thirty-eight".