82004023409 has 64 divisors (see below), whose sum is σ = 106114337280. Its totient is φ = 61517905920.

The previous prime is 82004023403. The next prime is 82004023421. The reversal of 82004023409 is 90432040028.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82004023409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82004023403) 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 63 ways as a sum of consecutive naturals, for example, 161107847 + ... + 161108355.

It is an arithmetic number, because the mean of its divisors is an integer number (1658036520).

Almost surely, 2^82004023409 is an apocalyptic number.

It is an amenable number.

82004023409 is a deficient number, since it is larger than the sum of its proper divisors (24110313871).

82004023409 is a wasteful number, since it uses less digits than its factorization.

82004023409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 82004023409 in words is "eighty-two billion, four million, twenty-three thousand, four hundred nine".