806205 has 16 divisors (see below), whose sum is σ = 1309824. Its totient is φ = 423360.

The previous prime is 806203. The next prime is 806213. The reversal of 806205 is 502608.

It is a happy number.

It is not a de Polignac number, because 806205 - 2¹ = 806203 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806205.

It is not an unprimeable number, because it can be changed into a prime (806203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (81864).

2⁸⁰⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

806205 is a deficient number, since it is larger than the sum of its proper divisors (503619).

806205 is a wasteful number, since it uses less digits than its factorization.

806205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 806205 is about 897.8891913817. The cubic root of 806205 is about 93.0711676322.

The spelling of 806205 in words is "eight hundred six thousand, two hundred five".