205384 has 8 divisors (see below), whose sum is σ = 385110. Its totient is φ = 102688.

The previous prime is 205357. The next prime is 205391. The reversal of 205384 is 483502.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 62500 = 378^2 + 250^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 8.

It is an unprimeable number.

205384 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 as a sum of consecutive naturals, namely, 12829 + ... + 12844.

2²⁰⁵³⁸⁴ is an apocalyptic number.

It is an amenable number.

205384 is a deficient number, since it is larger than the sum of its proper divisors (179726).

205384 is a wasteful number, since it uses less digits than its factorization.

205384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25679 (or 25675 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 205384 is about 453.1931155700. The cubic root of 205384 is about 59.0004787857. Note that the first 3 decimals are identical.

Adding to 205384 its reverse (483502), we get a palindrome (688886).

The spelling of 205384 in words is "two hundred five thousand, three hundred eighty-four".