971066372329 has 9 divisors (see below), whose sum is σ = 984623814903. Its totient is φ = 957693142512.

The previous prime is 971066372279. The next prime is 971066372401. The reversal of 971066372329 is 923273660179.

The square root of 971066372329 is 985427.

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., 551224578025 + 419841794304 = 742445^2 + 647952^2 .

It is not a de Polignac number, because 971066372329 - 2⁷ = 971066372201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 971066372329.

It is not an unprimeable number, because it can be changed into a prime (971066375329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71929422 + ... + 71942920.

Almost surely, 2^971066372329 is an apocalyptic number.

971066372329 is the 985427-th square number.

971066372329 is the 492714-th centered octagonal number.

It is an amenable number.

971066372329 is a deficient number, since it is larger than the sum of its proper divisors (13557442574).

971066372329 is an frugal number, since it uses more digits than its factorization.

971066372329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27144 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 55.

The spelling of 971066372329 in words is "nine hundred seventy-one billion, sixty-six million, three hundred seventy-two thousand, three hundred twenty-nine".