82817856 has 112 divisors (see below), whose sum is σ = 265663680. Its totient is φ = 25090560.

The previous prime is 82817851. The next prime is 82817869. The reversal of 82817856 is 65871828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82817851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16830 + ... + 21186.

Almost surely, 2^82817856 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 82817856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132831840).

82817856 is an abundant number, since it is smaller than the sum of its proper divisors (182845824).

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

82817856 is a wasteful number, since it uses less digits than its factorization.

82817856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4373 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 82817856 is about 9100.4316381148. The cubic root of 82817856 is about 435.8877471027.

The spelling of 82817856 in words is "eighty-two million, eight hundred seventeen thousand, eight hundred fifty-six".