73821829321 has 2 divisors, whose sum is σ = 73821829322. Its totient is φ = 73821829320.

The previous prime is 73821829271. The next prime is 73821829327. The reversal of 73821829321 is 12392812837.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48964838400 + 24856990921 = 221280^2 + 157661^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73821829321 is a prime.

It is not a weakly prime, because it can be changed into another prime (73821829327) 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 as a sum of consecutive naturals, namely, 36910914660 + 36910914661.

It is an arithmetic number, because the mean of its divisors is an integer number (36910914661).

Almost surely, 2^73821829321 is an apocalyptic number.

It is an amenable number.

73821829321 is a deficient number, since it is larger than the sum of its proper divisors (1).

73821829321 is an equidigital number, since it uses as much as digits as its factorization.

73821829321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 46.

The spelling of 73821829321 in words is "seventy-three billion, eight hundred twenty-one million, eight hundred twenty-nine thousand, three hundred twenty-one".