81982208 has 72 divisors (see below), whose sum is σ = 204072960. Its totient is φ = 31933440.

The previous prime is 81982193. The next prime is 81982213. The reversal of 81982208 is 80228918.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17633 + ... + 21791.

Almost surely, 2^81982208 is an apocalyptic number.

81982208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102036480).

81982208 is an abundant number, since it is smaller than the sum of its proper divisors (122090752).

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

81982208 is a wasteful number, since it uses less digits than its factorization.

81982208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 81982208 is about 9054.4026859865. The cubic root of 81982208 is about 434.4167247534.

It can be divided in two parts, 81 and 982208, that added together give a palindrome (982289).

The spelling of 81982208 in words is "eighty-one million, nine hundred eighty-two thousand, two hundred eight".