82000032 has 48 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 27087872.

The previous prime is 82000031. The next prime is 82000049. The reversal of 82000032 is 23000028.

82000032 is nontrivially palindromic in base 7.

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

It is a junction number, because it is equal to n+sod(n) for n = 81999975 and 82000020.

It is not an unprimeable number, because it can be changed into a prime (82000031) 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, 7069 + ... + 14627.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2^82000032 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 82000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

82000032 is an abundant number, since it is smaller than the sum of its proper divisors (135183648).

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

82000032 is a wasteful number, since it uses less digits than its factorization.

82000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 82000032 is about 9055.3869050417. The cubic root of 82000032 is about 434.4482050904.

The spelling of 82000032 in words is "eighty-two million, thirty-two", and thus it is an aban number and an uban number.