82025216 has 108 divisors (see below), whose sum is σ = 205520112. Its totient is φ = 32385024.

The previous prime is 82025201. The next prime is 82025233. The reversal of 82025216 is 61252028.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 162821 + ... + 163323.

It is an arithmetic number, because the mean of its divisors is an integer number (1902964).

Almost surely, 2^82025216 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 82025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102760056).

82025216 is an abundant number, since it is smaller than the sum of its proper divisors (123494896).

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

82025216 is a wasteful number, since it uses less digits than its factorization.

82025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 82025216 is about 9056.7773517957. Note that the first 3 decimals coincide. The cubic root of 82025216 is about 434.4926767141.

The spelling of 82025216 in words is "eighty-two million, twenty-five thousand, two hundred sixteen".