82557856 has 36 divisors (see below), whose sum is σ = 169944642. Its totient is φ = 39476096.

The previous prime is 82557829. The next prime is 82557919. The reversal of 82557856 is 65875528.

It can be written as a sum of positive squares in only one way, i.e., 76387600 + 6170256 = 8740^2 + 2484^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14490 + ... + 19366.

Almost surely, 2^82557856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82557856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84972321).

82557856 is an abundant number, since it is smaller than the sum of its proper divisors (87386786).

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

82557856 is a wasteful number, since it uses less digits than its factorization.

82557856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4902 counting only the distinct ones).

The product of its digits is 672000, while the sum is 46.

The square root of 82557856 is about 9086.1353720930. The cubic root of 82557856 is about 435.4311240801.

The spelling of 82557856 in words is "eighty-two million, five hundred fifty-seven thousand, eight hundred fifty-six".