205929 has 16 divisors (see below), whose sum is σ = 316800. Its totient is φ = 132048.

The previous prime is 205913. The next prime is 205937. The reversal of 205929 is 929502.

It is not a de Polignac number, because 205929 - 2⁴ = 205913 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (205949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2²⁰⁵⁹²⁹ is an apocalyptic number.

205929 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

205929 is a deficient number, since it is larger than the sum of its proper divisors (110871).

205929 is a wasteful number, since it uses less digits than its factorization.

205929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 205929 is about 453.7940061305. The cubic root of 205929 is about 59.0526199145.

The spelling of 205929 in words is "two hundred five thousand, nine hundred twenty-nine".