205504 has 42 divisors (see below), whose sum is σ = 464820. Its totient is φ = 89856.

The previous prime is 205493. The next prime is 205507. The reversal of 205504 is 405502.

It is a happy number.

205504 is nontrivially palindromic in base 6.

205504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (205507) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10807 + ... + 10825.

2²⁰⁵⁵⁰⁴ 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 205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232410).

205504 is an abundant number, since it is smaller than the sum of its proper divisors (259316).

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

205504 is a wasteful number, since it uses less digits than its factorization.

205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 205504 is about 453.3254901282. The cubic root of 205504 is about 59.0119673129.

The spelling of 205504 in words is "two hundred five thousand, five hundred four".