82859712 has 112 divisors (see below), whose sum is σ = 239389920. Its totient is φ = 25141248.

The previous prime is 82859677. The next prime is 82859737. The reversal of 82859712 is 21795828.

Its product of digits (80640) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 221958 + ... + 222330.

It is an arithmetic number, because the mean of its divisors is an integer number (2137410).

Almost surely, 2^82859712 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 82859712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119694960).

82859712 is an abundant number, since it is smaller than the sum of its proper divisors (156530208).

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

82859712 is a wasteful number, since it uses less digits than its factorization.

82859712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 82859712 is about 9102.7310187657. The cubic root of 82859712 is about 435.9611670377.

The spelling of 82859712 in words is "eighty-two million, eight hundred fifty-nine thousand, seven hundred twelve".