205836 has 24 divisors (see below), whose sum is σ = 509040. Its totient is φ = 64512.

The previous prime is 205823. The next prime is 205837. The reversal of 205836 is 638502.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205836.

It is not an unprimeable number, because it can be changed into a prime (205837) by changing a digit.

205836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (21210).

2²⁰⁵⁸³⁶ is an apocalyptic number.

It is an amenable number.

205836 is an abundant number, since it is smaller than the sum of its proper divisors (303204).

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

205836 is a wasteful number, since it uses less digits than its factorization.

205836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 205836 is about 453.6915251578. The cubic root of 205836 is about 59.0437289527.

It can be divided in two parts, 2058 and 36, that multiplied together give a cube (74088 = 42³).

The spelling of 205836 in words is "two hundred five thousand, eight hundred thirty-six".