82000111 has 4 divisors (see below), whose sum is σ = 82018224. Its totient is φ = 81982000.

The previous prime is 82000073. The next prime is 82000151. The reversal of 82000111 is 11100028.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 82000111 - 2¹³ = 81991919 is a prime.

It is a Duffinian number.

82000111 is a modest number, since divided by 111 gives 82 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 82000091 and 82000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4371 + ... + 13531.

It is an arithmetic number, because the mean of its divisors is an integer number (20504556).

Almost surely, 2^82000111 is an apocalyptic number.

82000111 is a deficient number, since it is larger than the sum of its proper divisors (18113).

82000111 is an equidigital number, since it uses as much as digits as its factorization.

82000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18112.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 82000111 is about 9055.3912670850. The cubic root of 82000111 is about 434.4483446083.

Adding to 82000111 its reverse (11100028), we get a palindrome (93100139).

The spelling of 82000111 in words is "eighty-two million, one hundred eleven", and thus it is an aban number.