82077105 has 64 divisors (see below), whose sum is σ = 157075200. Its totient is φ = 36126720.

The previous prime is 82077103. The next prime is 82077187. The reversal of 82077105 is 50177028.

It is a happy number.

It is not a de Polignac number, because 82077105 - 2¹ = 82077103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82077103) 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 63 ways as a sum of consecutive naturals, for example, 80841 + ... + 81849.

It is an arithmetic number, because the mean of its divisors is an integer number (2454300).

Almost surely, 2^82077105 is an apocalyptic number.

82077105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82077105 is a deficient number, since it is larger than the sum of its proper divisors (74998095).

82077105 is a wasteful number, since it uses less digits than its factorization.

82077105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 82077105 is about 9059.6415492005. The cubic root of 82077105 is about 434.5842771561.

The spelling of 82077105 in words is "eighty-two million, seventy-seven thousand, one hundred five".