81984111 has 16 divisors (see below), whose sum is σ = 119864448. Its totient is φ = 49431200.

The previous prime is 81984083. The next prime is 81984127. The reversal of 81984111 is 11148918.

It is a cyclic number.

It is not a de Polignac number, because 81984111 - 2¹³ = 81975919 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81984191) 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 15 ways as a sum of consecutive naturals, for example, 196 + ... + 12806.

It is an arithmetic number, because the mean of its divisors is an integer number (7491528).

Almost surely, 2^81984111 is an apocalyptic number.

81984111 is a deficient number, since it is larger than the sum of its proper divisors (37880337).

81984111 is a wasteful number, since it uses less digits than its factorization.

81984111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12822.

The product of its digits is 2304, while the sum is 33.

The square root of 81984111 is about 9054.5077723750. The cubic root of 81984111 is about 434.4200860056.

The spelling of 81984111 in words is "eighty-one million, nine hundred eighty-four thousand, one hundred eleven".