205084 has 24 divisors (see below), whose sum is σ = 403200. Its totient is φ = 90480.

The previous prime is 205081. The next prime is 205097. The reversal of 205084 is 480502.

It is a happy number.

205084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2557 + ... + 2635.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2²⁰⁵⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

205084 is a deficient number, since it is larger than the sum of its proper divisors (198116).

205084 is a wasteful number, since it uses less digits than its factorization.

205084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 205084 is about 452.8620098882. The cubic root of 205084 is about 58.9717378765.

Adding to 205084 its reverse (480502), we get a palindrome (685586).

The spelling of 205084 in words is "two hundred five thousand, eighty-four".