822205 has 12 divisors (see below), whose sum is σ = 1049940. Its totient is φ = 617984.

The previous prime is 822197. The next prime is 822221. The reversal of 822205 is 502228.

It can be written as a sum of positive squares in 6 ways, for example, as 1369 + 820836 = 37^2 + 906^2 .

It is not a de Polignac number, because 822205 - 2³ = 822197 is a prime.

822205 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, 1161 + ... + 1729.

It is an arithmetic number, because the mean of its divisors is an integer number (87495).

2⁸²²²⁰⁵ is an apocalyptic number.

822205 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

822205 is a deficient number, since it is larger than the sum of its proper divisors (227735).

822205 is a wasteful number, since it uses less digits than its factorization.

822205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 822205 is about 906.7552040104. The cubic root of 822205 is about 93.6828378227.

The spelling of 822205 in words is "eight hundred twenty-two thousand, two hundred five".