82806 has 16 divisors (see below), whose sum is σ = 170544. Its totient is φ = 26784.

The previous prime is 82799. The next prime is 82811. The reversal of 82806 is 60828.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (10659).

2⁸²⁸⁰⁶ is an apocalyptic number.

82806 is an abundant number, since it is smaller than the sum of its proper divisors (87738).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85272).

82806 is a wasteful number, since it uses less digits than its factorization.

82806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 82806 is about 287.7603169306. The cubic root of 82806 is about 43.5866945905.

It can be divided in two parts, 82 and 806, that added together give a palindrome (888).

The spelling of 82806 in words is "eighty-two thousand, eight hundred six".