82500032 has 28 divisors (see below), whose sum is σ = 165344856. Its totient is φ = 40838400.

The previous prime is 82500023. The next prime is 82500043. The reversal of 82500032 is 23000528.

It is a junction number, because it is equal to n+sod(n) for n = 82499977 and 82500013.

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 3 ways as a sum of consecutive naturals, for example, 83 + ... + 12845.

Almost surely, 2^82500032 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 82500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82672428).

82500032 is an abundant number, since it is smaller than the sum of its proper divisors (82844824).

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

82500032 is a wasteful number, since it uses less digits than its factorization.

82500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12866 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 82500032 is about 9082.9528238343. The cubic root of 82500032 is about 435.3294408437.

The spelling of 82500032 in words is "eighty-two million, five hundred thousand, thirty-two".