82216500 has 96 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 21529600.

The previous prime is 82216499. The next prime is 82216501. The reversal of 82216500 is 561228.

It is an interprime number because it is at equal distance from previous prime (82216499) and next prime (82216501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82216501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88036 + ... + 88964.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^82216500 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 82216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

82216500 is an abundant number, since it is smaller than the sum of its proper divisors (161517900).

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

82216500 is a wasteful number, since it uses less digits than its factorization.

82216500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 82216500 is about 9067.3314707250. The cubic root of 82216500 is about 434.8301622625.

Adding to 82216500 its reverse (561228), we get a palindrome (82777728).

The spelling of 82216500 in words is "eighty-two million, two hundred sixteen thousand, five hundred".