792967097169 has 189 divisors, whose sum is σ = 1340749959147. Its totient is φ = 468552887712.

The previous prime is 792967097159. The next prime is 792967097189. The reversal of 792967097169 is 961790769297.

The square root of 792967097169 is 890487.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 117302825025 + 675664272144 = 342495^2 + 821988^2 .

It is not a de Polignac number, because 792967097169 - 2¹¹ = 792967095121 is a prime.

It is a super-2 number, since 2×792967097169² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 792967097097 and 792967097106.

It is not an unprimeable number, because it can be changed into a prime (792967097129) 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 188 ways as a sum of consecutive naturals, for example, 13440120262 + ... + 13440120320.

Almost surely, 2^792967097169 is an apocalyptic number.

792967097169 is the 890487-th square number.

792967097169 is the 445244-th centered octagonal number.

It is an amenable number.

792967097169 is a deficient number, since it is larger than the sum of its proper divisors (547782861978).

792967097169 is an frugal number, since it uses more digits than its factorization.

792967097169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 162030456, while the sum is 72.

The spelling of 792967097169 in words is "seven hundred ninety-two billion, nine hundred sixty-seven million, ninety-seven thousand, one hundred sixty-nine".