204129 has 12 divisors (see below), whose sum is σ = 303316. Its totient is φ = 132192.

The previous prime is 204107. The next prime is 204133. The reversal of 204129 is 921402.

204129 = T₈₆ + T₈₇ + ... + T₁₂₂.

204129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 74529 + 129600 = 273^2 + 360^2 .

It is not a de Polignac number, because 204129 - 2⁸ = 203873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27 + ... + 639.

2²⁰⁴¹²⁹ is an apocalyptic number.

It is an amenable number.

204129 is a deficient number, since it is larger than the sum of its proper divisors (99187).

204129 is a wasteful number, since it uses less digits than its factorization.

204129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 653 counting only the distinct ones).

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

The square root of 204129 is about 451.8063744570. The cubic root of 204129 is about 58.8800589321.

It can be divided in two parts, 204 and 129, that added together give a palindrome (333).

The spelling of 204129 in words is "two hundred four thousand, one hundred twenty-nine".