206830 has 32 divisors (see below), whose sum is σ = 421344. Its totient is φ = 72576.

The previous prime is 206827. The next prime is 206879. The reversal of 206830 is 38602.

206830 = 56² + 57² + ... + 92².

It is a junction number, because it is equal to n+sod(n) for n = 206798 and 206807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789 + ... + 4831.

It is an arithmetic number, because the mean of its divisors is an integer number (13167).

2²⁰⁶⁸³⁰ is an apocalyptic number.

206830 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206830 is a wasteful number, since it uses less digits than its factorization.

206830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 206830 is about 454.7856638022. The cubic root of 206830 is about 59.1386188117.

The spelling of 206830 in words is "two hundred six thousand, eight hundred thirty".