205492 has 24 divisors (see below), whose sum is σ = 423360. Its totient is φ = 85440.

The previous prime is 205487. The next prime is 205493. The reversal of 205492 is 294502.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205493) by changing a digit.

205492 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 7 ways as a sum of consecutive naturals, for example, 1059 + ... + 1237.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2²⁰⁵⁴⁹² is an apocalyptic number.

205492 is the 287-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

205492 is an abundant number, since it is smaller than the sum of its proper divisors (217868).

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

205492 is a wasteful number, since it uses less digits than its factorization.

205492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 205492 is about 453.3122544119. The cubic root of 205492 is about 59.0108186615.

Adding to 205492 its reverse (294502), we get a palindrome (499994).

The spelling of 205492 in words is "two hundred five thousand, four hundred ninety-two".