82816 has 16 divisors (see below), whose sum is σ = 165240. Its totient is φ = 41344.

The previous prime is 82813. The next prime is 82837. The reversal of 82816 is 61828.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196 + ... + 451.

2⁸²⁸¹⁶ is an apocalyptic number.

It is an amenable number.

82816 is a deficient number, since it is larger than the sum of its proper divisors (82424).

82816 is an equidigital number, since it uses as much as digits as its factorization.

82816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 649 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 82816 is about 287.7776919777. Note that the first 3 decimals coincide. The cubic root of 82816 is about 43.5884490906.

It can be divided in two parts, 82 and 816, that added together give a palindrome (898).

The spelling of 82816 in words is "eighty-two thousand, eight hundred sixteen".