82556 has 6 divisors (see below), whose sum is σ = 144480. Its totient is φ = 41276.

The previous prime is 82549. The next prime is 82559. The reversal of 82556 is 65528.

It is a d-powerful number, because it can be written as 8 + 2 + 5⁵ + 5⁷ + 6⁴ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82556.

It is not an unprimeable number, because it can be changed into a prime (82559) by changing a digit.

82556 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10316 + ... + 10323.

It is an arithmetic number, because the mean of its divisors is an integer number (24080).

2⁸²⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

82556 is a deficient number, since it is larger than the sum of its proper divisors (61924).

82556 is a wasteful number, since it uses less digits than its factorization.

82556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20643 (or 20641 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 82556 is about 287.3255992772. The cubic root of 82556 is about 43.5427861050.

The spelling of 82556 in words is "eighty-two thousand, five hundred fifty-six".