82856 has 8 divisors (see below), whose sum is σ = 155370. Its totient is φ = 41424.

The previous prime is 82847. The next prime is 82883. The reversal of 82856 is 65828.

It is a happy number.

82856 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 12100 = 266^2 + 110^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

82856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 5171 + ... + 5186.

2⁸²⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

82856 is a deficient number, since it is larger than the sum of its proper divisors (72514).

82856 is a wasteful number, since it uses less digits than its factorization.

82856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10359 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 82856 is about 287.8471816781. The cubic root of 82856 is about 43.5954656789.

The spelling of 82856 in words is "eighty-two thousand, eight hundred fifty-six".