82605216 has 48 divisors (see below), whose sum is σ = 217310688. Its totient is φ = 27475200.

The previous prime is 82605209. The next prime is 82605223. The reversal of 82605216 is 61250628.

It is an interprime number because it is at equal distance from previous prime (82605209) and next prime (82605223).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77326 + ... + 78386.

It is an arithmetic number, because the mean of its divisors is an integer number (4527306).

Almost surely, 2^82605216 is an apocalyptic number.

It is an amenable number.

82605216 is an abundant number, since it is smaller than the sum of its proper divisors (134705472).

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

82605216 is a wasteful number, since it uses less digits than its factorization.

82605216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 82605216 is about 9088.7411669604. The cubic root of 82605216 is about 435.5143710577.

The spelling of 82605216 in words is "eighty-two million, six hundred five thousand, two hundred sixteen".