82382208 has 64 divisors (see below), whose sum is σ = 222478320. Its totient is φ = 27002880.

The previous prime is 82382177. The next prime is 82382257. The reversal of 82382208 is 80228328.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 21666 + ... + 25182.

Almost surely, 2^82382208 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 82382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111239160).

82382208 is an abundant number, since it is smaller than the sum of its proper divisors (140096112).

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

82382208 is a wasteful number, since it uses less digits than its factorization.

82382208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82382208 is about 9076.4645099290. The cubic root of 82382208 is about 435.1221007486.

The spelling of 82382208 in words is "eighty-two million, three hundred eighty-two thousand, two hundred eight".