82118208 has 56 divisors (see below), whose sum is σ = 219931488. Its totient is φ = 27037696.

The previous prime is 82118191. The next prime is 82118237. The reversal of 82118208 is 80281128.

It is a super-3 number, since 3×82118208³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 13360 + ... + 18512.

It is an arithmetic number, because the mean of its divisors is an integer number (3927348).

Almost surely, 2^82118208 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 82118208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109965744).

82118208 is an abundant number, since it is smaller than the sum of its proper divisors (137813280).

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

82118208 is a wasteful number, since it uses less digits than its factorization.

82118208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 82118208 is about 9061.9097325012. The cubic root of 82118208 is about 434.6568095088.

The spelling of 82118208 in words is "eighty-two million, one hundred eighteen thousand, two hundred eight".