82485000 has 320 divisors, whose sum is σ = 314899200. Its totient is φ = 19872000.

The previous prime is 82484971. The next prime is 82485043. The reversal of 82485000 is 58428.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 1754977 + ... + 1755023.

It is an arithmetic number, because the mean of its divisors is an integer number (984060).

Almost surely, 2^82485000 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 82485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157449600).

82485000 is an abundant number, since it is smaller than the sum of its proper divisors (232414200).

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

82485000 is a wasteful number, since it uses less digits than its factorization.

82485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82485000 is about 9082.1253019324. The cubic root of 82485000 is about 435.3029993604.

The spelling of 82485000 in words is "eighty-two million, four hundred eighty-five thousand".