205884 has 72 divisors (see below), whose sum is σ = 640640. Its totient is φ = 54432.

The previous prime is 205883. The next prime is 205913. The reversal of 205884 is 488502.

205884 = T₁₀₇ + T₁₀₈ + ... + T₁₃₄.

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 205884.

It is not an unprimeable number, because it can be changed into a prime (205883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4767 + ... + 4809.

2²⁰⁵⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320320).

205884 is an abundant number, since it is smaller than the sum of its proper divisors (434756).

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

205884 is a wasteful number, since it uses less digits than its factorization.

205884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 205884 is about 453.7444214533. The cubic root of 205884 is about 59.0483181705.

It can be divided in two parts, 205 and 884, that added together give a square (1089 = 33²).

The spelling of 205884 in words is "two hundred five thousand, eight hundred eighty-four".