82305216 has 168 divisors, whose sum is σ = 273405600. Its totient is φ = 23187456.

The previous prime is 82305199. The next prime is 82305227. The reversal of 82305216 is 61250328.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 82305216.

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, 552310 + ... + 552458.

Almost surely, 2^82305216 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 82305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136702800).

82305216 is an abundant number, since it is smaller than the sum of its proper divisors (191100384).

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

82305216 is a wasteful number, since it uses less digits than its factorization.

82305216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82305216 is about 9072.2222195006. Note that the first 4 decimals coincide. The cubic root of 82305216 is about 434.9865077068.

The spelling of 82305216 in words is "eighty-two million, three hundred five thousand, two hundred sixteen".