82058112 has 192 divisors, whose sum is σ = 260956800. Its totient is φ = 24634368.

The previous prime is 82058087. The next prime is 82058113. The reversal of 82058112 is 21185028.

82058112 is a `hidden beast` number, since 82 + 0 + 581 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82058113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503343 + ... + 503505.

It is an arithmetic number, because the mean of its divisors is an integer number (1359150).

Almost surely, 2^82058112 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 82058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130478400).

82058112 is an abundant number, since it is smaller than the sum of its proper divisors (178898688).

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

82058112 is a wasteful number, since it uses less digits than its factorization.

82058112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 82058112 is about 9058.5932682729. The cubic root of 82058112 is about 434.5507530045.

The spelling of 82058112 in words is "eighty-two million, fifty-eight thousand, one hundred twelve".