82065032 has 32 divisors (see below), whose sum is σ = 176332800. Its totient is φ = 35074944.

The previous prime is 82065019. The next prime is 82065037. The reversal of 82065032 is 23056028.

It is a super-2 number, since 2×82065032² = 13469338954322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82064992 and 82065010.

It is not an unprimeable number, because it can be changed into a prime (82065037) 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, 21113 + ... + 24695.

It is an arithmetic number, because the mean of its divisors is an integer number (5510400).

Almost surely, 2^82065032 is an apocalyptic number.

It is an amenable number.

82065032 is an abundant number, since it is smaller than the sum of its proper divisors (94267768).

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

82065032 is a wasteful number, since it uses less digits than its factorization.

82065032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 82065032 is about 9058.9752179813. The cubic root of 82065032 is about 434.5629679524.

The spelling of 82065032 in words is "eighty-two million, sixty-five thousand, thirty-two".