82307016 has 112 divisors (see below), whose sum is σ = 252614160. Its totient is φ = 24922080.

The previous prime is 82307003. The next prime is 82307063. The reversal of 82307016 is 61070328.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63511 + ... + 64793.

Almost surely, 2^82307016 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 82307016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126307080).

82307016 is an abundant number, since it is smaller than the sum of its proper divisors (170307144).

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

82307016 is a wasteful number, since it uses less digits than its factorization.

82307016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 82307016 is about 9072.3214228774. The cubic root of 82307016 is about 434.9896787087.

The spelling of 82307016 in words is "eighty-two million, three hundred seven thousand, sixteen".