82605312 has 288 divisors, whose sum is σ = 279619200. Its totient is φ = 23887872.

The previous prime is 82605307. The next prime is 82605319. The reversal of 82605312 is 21350628.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82605319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232558 + ... + 2232594.

It is an arithmetic number, because the mean of its divisors is an integer number (970900).

Almost surely, 2^82605312 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 82605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139809600).

82605312 is an abundant number, since it is smaller than the sum of its proper divisors (197013888).

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

82605312 is a wasteful number, since it uses less digits than its factorization.

82605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82605312 is about 9088.7464482183. The cubic root of 82605312 is about 435.5145397692.

The spelling of 82605312 in words is "eighty-two million, six hundred five thousand, three hundred twelve".