82985472 has 240 divisors, whose sum is σ = 268107840. Its totient is φ = 25546752.

The previous prime is 82985459. The next prime is 82985491. The reversal of 82985472 is 27458928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2861554 + ... + 2861582.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^82985472 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 82985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

82985472 is an abundant number, since it is smaller than the sum of its proper divisors (185122368).

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

82985472 is an equidigital number, since it uses as much as digits as its factorization.

82985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 82985472 is about 9109.6362166664. The cubic root of 82985472 is about 436.1816149927.

The spelling of 82985472 in words is "eighty-two million, nine hundred eighty-five thousand, four hundred seventy-two".