82035975697 has 16 divisors (see below), whose sum is σ = 89843109328. Its totient is φ = 74449290240.

The previous prime is 82035975631. The next prime is 82035975713. The reversal of 82035975697 is 79657953028.

It can be written as a sum of positive squares in 8 ways, for example, as 42240114576 + 39795861121 = 205524^2 + 199489^2 .

It is not a de Polignac number, because 82035975697 - 2¹⁵ = 82035942929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82035975617) 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, 158947 + ... + 435127.

It is an arithmetic number, because the mean of its divisors is an integer number (5615194333).

Almost surely, 2^82035975697 is an apocalyptic number.

It is an amenable number.

82035975697 is a deficient number, since it is larger than the sum of its proper divisors (7807133631).

82035975697 is a wasteful number, since it uses less digits than its factorization.

82035975697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276580.

The product of its (nonzero) digits is 28576800, while the sum is 61.

The spelling of 82035975697 in words is "eighty-two billion, thirty-five million, nine hundred seventy-five thousand, six hundred ninety-seven".