204004089 has 35 divisors (see below), whose sum is σ = 319769173. Its totient is φ = 130089564.

The previous prime is 204004061. The next prime is 204004093. The reversal of 204004089 is 980400402.

The square root of 204004089 is 14283.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 204004089 - 2⁵ = 204004057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204004039) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 8869732 + ... + 8869754.

Almost surely, 2^204004089 is an apocalyptic number.

204004089 is the 14283-rd square number.

204004089 is the 7142-nd centered octagonal number.

It is an amenable number.

204004089 is a deficient number, since it is larger than the sum of its proper divisors (115765084).

204004089 is an frugal number, since it uses more digits than its factorization.

204004089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 204004089 is about 588.6804648293.

Multiplying 204004089 by its product of nonzero digits (2304), we get a 4-th power (470025421056 = 828⁴).

The spelling of 204004089 in words is "two hundred four million, four thousand, eighty-nine".