82887235067 has 16 divisors (see below), whose sum is σ = 106450498560. Its totient is φ = 62729754912.

The previous prime is 82887235049. The next prime is 82887235097. The reversal of 82887235067 is 76053278828.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82887235067 - 2⁶ = 82887235003 is a prime.

It is a super-2 number, since 2×82887235067² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82887235097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19798967 + ... + 19803152.

It is an arithmetic number, because the mean of its divisors is an integer number (6653156160).

Almost surely, 2^82887235067 is an apocalyptic number.

82887235067 is a deficient number, since it is larger than the sum of its proper divisors (23563263493).

82887235067 is a wasteful number, since it uses less digits than its factorization.

82887235067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39602162.

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 82887235067 in words is "eighty-two billion, eight hundred eighty-seven million, two hundred thirty-five thousand, sixty-seven".