82085320 has 32 divisors (see below), whose sum is σ = 194414400. Its totient is φ = 31105728.

The previous prime is 82085309. The next prime is 82085329. The reversal of 82085320 is 2358028.

It is not an unprimeable number, because it can be changed into a prime (82085329) 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 7 ways as a sum of consecutive naturals, for example, 53244 + ... + 54763.

It is an arithmetic number, because the mean of its divisors is an integer number (6075450).

Almost surely, 2^82085320 is an apocalyptic number.

It is an amenable number.

82085320 is an abundant number, since it is smaller than the sum of its proper divisors (112329080).

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

82085320 is a wasteful number, since it uses less digits than its factorization.

82085320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108037 (or 108033 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 82085320 is about 9060.0949222401. The cubic root of 82085320 is about 434.5987756805.

The spelling of 82085320 in words is "eighty-two million, eighty-five thousand, three hundred twenty".