204192 has 36 divisors (see below), whose sum is σ = 581490. Its totient is φ = 67968.

The previous prime is 204173. The next prime is 204233. The reversal of 204192 is 291402.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 7056 = 444^2 + 84^2 .

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 unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67 + ... + 642.

2²⁰⁴¹⁹² 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 204192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290745).

204192 is an abundant number, since it is smaller than the sum of its proper divisors (377298).

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

204192 is a wasteful number, since it uses less digits than its factorization.

204192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 204192 is about 451.8760892103. The cubic root of 204192 is about 58.8861156612.

Adding to 204192 its reverse (291402), we get a palindrome (495594).

The spelling of 204192 in words is "two hundred four thousand, one hundred ninety-two".