82444208 has 40 divisors (see below), whose sum is σ = 199153920. Its totient is φ = 32120640.

The previous prime is 82444207. The next prime is 82444217. The reversal of 82444208 is 80244428.

It is a super-3 number, since 3×82444208³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82444207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32228 + ... + 34691.

It is an arithmetic number, because the mean of its divisors is an integer number (4978848).

Almost surely, 2^82444208 is an apocalyptic number.

82444208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82444208 is an abundant number, since it is smaller than the sum of its proper divisors (116709712).

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

82444208 is a wasteful number, since it uses less digits than its factorization.

82444208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66945 (or 66939 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 82444208 is about 9079.8792943519. The cubic root of 82444208 is about 435.2312295118.

It can be divided in two parts, 8244420 and 8, that added together give a palindrome (8244428).

The spelling of 82444208 in words is "eighty-two million, four hundred forty-four thousand, two hundred eight".