82735258067 has 32 divisors (see below), whose sum is σ = 105794895360. Its totient is φ = 62823237120.

The previous prime is 82735258051. The next prime is 82735258087. The reversal of 82735258067 is 76085253728.

It is a happy number.

It is not a de Polignac number, because 82735258067 - 2⁴ = 82735258051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82735258007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1404809 + ... + 1462517.

It is an arithmetic number, because the mean of its divisors is an integer number (3306090480).

Almost surely, 2^82735258067 is an apocalyptic number.

82735258067 is a deficient number, since it is larger than the sum of its proper divisors (23059637293).

82735258067 is a wasteful number, since it uses less digits than its factorization.

82735258067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58203.

The product of its (nonzero) digits is 5644800, while the sum is 53.

The spelling of 82735258067 in words is "eighty-two billion, seven hundred thirty-five million, two hundred fifty-eight thousand, sixty-seven".