830205 has 24 divisors (see below), whose sum is σ = 1516320. Its totient is φ = 419040.

The previous prime is 830191. The next prime is 830233. The reversal of 830205 is 502038.

It is not a de Polignac number, because 830205 - 2⁵ = 830173 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

2⁸³⁰²⁰⁵ is an apocalyptic number.

It is an amenable number.

830205 is a deficient number, since it is larger than the sum of its proper divisors (686115).

830205 is a wasteful number, since it uses less digits than its factorization.

830205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 830205 is about 911.1558593347. The cubic root of 830205 is about 93.9857002542.

It can be divided in two parts, 830 and 205, that added together give a triangular number (1035 = T₄₅).

The spelling of 830205 in words is "eight hundred thirty thousand, two hundred five".