792221202122297 has 8 divisors (see below), whose sum is σ = 805209295810440. Its totient is φ = 779233136204160.

The previous prime is 792221202122281. The next prime is 792221202122299.

792221202122297 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 42691012874896 + 749530189247401 = 6533836^2 + 27377549^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 792221202122297 - 2⁴ = 792221202122281 is a prime.

It is a super-2 number, since 2×792221202122297² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (792221202122299) 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 7 ways as a sum of consecutive naturals, for example, 55087229 + ... + 67963557.

It is an arithmetic number, because the mean of its divisors is an integer number (100651161976305).

Almost surely, 2^{792221202122297} is an apocalyptic number.

It is an amenable number.

792221202122297 is a deficient number, since it is larger than the sum of its proper divisors (12988093688143).

792221202122297 is a wasteful number, since it uses less digits than its factorization.

792221202122297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885003.

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 792221202122297 in words is "seven hundred ninety-two trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, two hundred ninety-seven".