82083105 has 32 divisors (see below), whose sum is σ = 157153920. Its totient is φ = 40409280.

The previous prime is 82083091. The next prime is 82083109. The reversal of 82083105 is 50138028.

It is a happy number.

It is not a de Polignac number, because 82083105 - 2⁵ = 82083073 is a prime.

It is a super-2 number, since 2×82083105² = 13475272252882050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82083109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21631 + ... + 25140.

It is an arithmetic number, because the mean of its divisors is an integer number (4911060).

Almost surely, 2^82083105 is an apocalyptic number.

It is an amenable number.

82083105 is a deficient number, since it is larger than the sum of its proper divisors (75070815).

82083105 is a wasteful number, since it uses less digits than its factorization.

82083105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46798 (or 46792 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82083105 is about 9059.9726820780. The cubic root of 82083105 is about 434.5948665571.

The spelling of 82083105 in words is "eighty-two million, eighty-three thousand, one hundred five".