82504032 has 48 divisors (see below), whose sum is σ = 233236080. Its totient is φ = 25385472.

The previous prime is 82504027. The next prime is 82504039. The reversal of 82504032 is 23040528.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 82503993 and 82504011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82504039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31807 + ... + 34302.

It is an arithmetic number, because the mean of its divisors is an integer number (4859085).

Almost surely, 2^82504032 is an apocalyptic number.

It is an amenable number.

82504032 is an abundant number, since it is smaller than the sum of its proper divisors (150732048).

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

82504032 is a wasteful number, since it uses less digits than its factorization.

82504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66135 (or 66127 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 82504032 is about 9083.1730138757. The cubic root of 82504032 is about 435.3364763546.

The spelling of 82504032 in words is "eighty-two million, five hundred four thousand, thirty-two".