82604004021 has 192 divisors, whose sum is σ = 162795110400. Its totient is φ = 39060403200.

The previous prime is 82604004017. The next prime is 82604004073. The reversal of 82604004021 is 12040040628.

It is not a de Polignac number, because 82604004021 - 2² = 82604004017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82604000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64083145 + ... + 64084433.

It is an arithmetic number, because the mean of its divisors is an integer number (847891200).

Almost surely, 2^82604004021 is an apocalyptic number.

It is an amenable number.

82604004021 is a deficient number, since it is larger than the sum of its proper divisors (80191106379).

82604004021 is a wasteful number, since it uses less digits than its factorization.

82604004021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 82604004021 its reverse (12040040628), we get a palindrome (94644044649).

The spelling of 82604004021 in words is "eighty-two billion, six hundred four million, four thousand, twenty-one".