205092 has 36 divisors (see below), whose sum is σ = 540176. Its totient is φ = 68040.

The previous prime is 205081. The next prime is 205097. The reversal of 205092 is 290502.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205092.

It is not an unprimeable number, because it can be changed into a prime (205097) by changing a digit.

205092 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 in 11 ways as a sum of consecutive naturals, for example, 867 + ... + 1077.

2²⁰⁵⁰⁹² 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 205092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270088).

205092 is an abundant number, since it is smaller than the sum of its proper divisors (335084).

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

205092 is a wasteful number, since it uses less digits than its factorization.

205092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 205092 is about 452.8708425147. The cubic root of 205092 is about 58.9725046644.

Adding to 205092 its reverse (290502), we get a palindrome (495594).

The spelling of 205092 in words is "two hundred five thousand, ninety-two".