812205 has 12 divisors (see below), whose sum is σ = 1407900. Its totient is φ = 433152.

The previous prime is 812191. The next prime is 812213. The reversal of 812205 is 502218.

812205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 514089 + 298116 = 717^2 + 546^2 .

It is not a de Polignac number, because 812205 - 2⁵ = 812173 is a prime.

812205 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8980 + ... + 9069.

It is an arithmetic number, because the mean of its divisors is an integer number (117325).

2⁸¹²²⁰⁵ is an apocalyptic number.

It is an amenable number.

812205 is a deficient number, since it is larger than the sum of its proper divisors (595695).

812205 is a wasteful number, since it uses less digits than its factorization.

812205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18060 (or 18057 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 812205 is about 901.2241674522. The cubic root of 812205 is about 93.3014843145.

It can be divided in two parts, 81220 and 5, that added together give a square (81225 = 285²).

The spelling of 812205 in words is "eight hundred twelve thousand, two hundred five".