205029 has 24 divisors (see below), whose sum is σ = 343200. Its totient is φ = 116640.

The previous prime is 205019. The next prime is 205031. The reversal of 205029 is 920502.

It is not a de Polignac number, because 205029 - 2⁹ = 204517 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205029.

It is not an unprimeable number, because it can be changed into a prime (205019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1827 + ... + 1935.

It is an arithmetic number, because the mean of its divisors is an integer number (14300).

2²⁰⁵⁰²⁹ is an apocalyptic number.

It is an amenable number.

205029 is a deficient number, since it is larger than the sum of its proper divisors (138171).

205029 is a wasteful number, since it uses less digits than its factorization.

205029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 142 counting only the distinct ones).

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

The square root of 205029 is about 452.8012809169. The cubic root of 205029 is about 58.9664656700.

Adding to 205029 its product of nonzero digits (180), we get a square (205209 = 453²).

The spelling of 205029 in words is "two hundred five thousand, twenty-nine".