82912256 has 88 divisors (see below), whose sum is σ = 194546880. Its totient is φ = 34578432.

The previous prime is 82912253. The next prime is 82912283. The reversal of 82912256 is 65221928.

It is a happy number.

It is a super-3 number, since 3×82912256³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82912253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308090 + ... + 308358.

It is an arithmetic number, because the mean of its divisors is an integer number (2210760).

Almost surely, 2^82912256 is an apocalyptic number.

82912256 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97273440).

82912256 is an abundant number, since it is smaller than the sum of its proper divisors (111634624).

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

82912256 is a wasteful number, since it uses less digits than its factorization.

82912256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 82912256 is about 9105.6167281519. The cubic root of 82912256 is about 436.0532998835.

The spelling of 82912256 in words is "eighty-two million, nine hundred twelve thousand, two hundred fifty-six".