206829 has 24 divisors (see below), whose sum is σ = 353600. Its totient is φ = 116424.

The previous prime is 206827. The next prime is 206879. The reversal of 206829 is 928602.

It is not a de Polignac number, because 206829 - 2¹ = 206827 is a prime.

It is a super-3 number, since 3×206829³ = 26543338849982367, which contains 333 as substring.

It is a Duffinian number.

206829 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206821) 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, 3054 + ... + 3120.

2²⁰⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

206829 is a deficient number, since it is larger than the sum of its proper divisors (146771).

206829 is an equidigital number, since it uses as much as digits as its factorization.

206829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 206829 is about 454.7845643819. The cubic root of 206829 is about 59.1385235020.

It can be divided in two parts, 206 and 829, that added together give a triangular number (1035 = T₄₅).

The spelling of 206829 in words is "two hundred six thousand, eight hundred twenty-nine".