205292 has 12 divisors (see below), whose sum is σ = 380520. Its totient is φ = 96576.

The previous prime is 205267. The next prime is 205297. The reversal of 205292 is 292502.

205292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205292.

It is not an unprimeable number, because it can be changed into a prime (205297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1442 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (31710).

2²⁰⁵²⁹² is an apocalyptic number.

It is an amenable number.

205292 is a deficient number, since it is larger than the sum of its proper divisors (175228).

205292 is a wasteful number, since it uses less digits than its factorization.

205292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 205292 is about 453.0916022175. The cubic root of 205292 is about 58.9916678840.

Adding to 205292 its reverse (292502), we get a palindrome (497794).

The spelling of 205292 in words is "two hundred five thousand, two hundred ninety-two".