82089952 has 48 divisors (see below), whose sum is σ = 191086560. Its totient is φ = 33965568.

The previous prime is 82089949. The next prime is 82089961. The reversal of 82089952 is 25998028.

It is a junction number, because it is equal to n+sod(n) for n = 82089899 and 82089908.

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 7 ways as a sum of consecutive naturals, for example, 178 + ... + 12814.

It is an arithmetic number, because the mean of its divisors is an integer number (3980970).

Almost surely, 2^82089952 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 82089952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95543280).

82089952 is an abundant number, since it is smaller than the sum of its proper divisors (108996608).

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

82089952 is a wasteful number, since it uses less digits than its factorization.

82089952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 82089952 is about 9060.3505450948. The cubic root of 82089952 is about 434.6069501981.

The spelling of 82089952 in words is "eighty-two million, eighty-nine thousand, nine hundred fifty-two".