82206 has 12 divisors (see below), whose sum is σ = 178152. Its totient is φ = 27396.

The previous prime is 82193. The next prime is 82207. The reversal of 82206 is 60228.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4567 = 82206 / (8 + 2 + 2 + 0 + 6).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2266 + ... + 2301.

It is an arithmetic number, because the mean of its divisors is an integer number (14846).

2⁸²²⁰⁶ is an apocalyptic number.

82206 is an abundant number, since it is smaller than the sum of its proper divisors (95946).

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

82206 is a wasteful number, since it uses less digits than its factorization.

82206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82206 is about 286.7158872473. The cubic root of 82206 is about 43.4811650524.

The spelling of 82206 in words is "eighty-two thousand, two hundred six".