8217216 has 96 divisors (see below), whose sum is σ = 27050400. Its totient is φ = 2345472.

The previous prime is 8217203. The next prime is 8217221. The reversal of 8217216 is 6127128.

8217216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8217216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7555 + ... + 8573.

It is an arithmetic number, because the mean of its divisors is an integer number (281775).

Almost surely, 2^8217216 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 8217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525200).

8217216 is an abundant number, since it is smaller than the sum of its proper divisors (18833184).

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

8217216 is a wasteful number, since it uses less digits than its factorization.

8217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1031 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 8217216 is about 2866.5686804959. The cubic root of 8217216 is about 201.7939931610.

The spelling of 8217216 in words is "eight million, two hundred seventeen thousand, two hundred sixteen".