82112256 has 108 divisors (see below), whose sum is σ = 239307432. Its totient is φ = 27076608.

The previous prime is 82112209. The next prime is 82112257. The reversal of 82112256 is 65221128.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82112257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361615 + ... + 361841.

Almost surely, 2^82112256 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 82112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119653716).

82112256 is an abundant number, since it is smaller than the sum of its proper divisors (157195176).

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

82112256 is a wasteful number, since it uses less digits than its factorization.

82112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 82112256 is about 9061.5813189531. The cubic root of 82112256 is about 434.6463078190.

The spelling of 82112256 in words is "eighty-two million, one hundred twelve thousand, two hundred fifty-six".