205829 has 8 divisors (see below), whose sum is σ = 225792. Its totient is φ = 186480.

The previous prime is 205823. The next prime is 205837. The reversal of 205829 is 928502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205798 and 205807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2²⁰⁵⁸²⁹ is an apocalyptic number.

It is an amenable number.

205829 is a deficient number, since it is larger than the sum of its proper divisors (19963).

205829 is a wasteful number, since it uses less digits than its factorization.

205829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 205829 is about 453.6838105994. The cubic root of 205829 is about 59.0430596322.

The spelling of 205829 in words is "two hundred five thousand, eight hundred twenty-nine".