82016312 has 48 divisors (see below), whose sum is σ = 185531760. Its totient is φ = 33291648.

The previous prime is 82016261. The next prime is 82016327. The reversal of 82016312 is 21361028.

It is a super-3 number, since 3×82016312³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18188 + ... + 22244.

It is an arithmetic number, because the mean of its divisors is an integer number (3865245).

Almost surely, 2^82016312 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 82016312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92765880).

82016312 is an abundant number, since it is smaller than the sum of its proper divisors (103515448).

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

82016312 is a wasteful number, since it uses less digits than its factorization.

82016312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 82016312 is about 9056.2857728762. The cubic root of 82016312 is about 434.4769544644.

It can be divided in two parts, 82016 and 312, that added together give a palindrome (82328).

The spelling of 82016312 in words is "eighty-two million, sixteen thousand, three hundred twelve".