7971367336321 has 3 divisors (see below), whose sum is σ = 7971370159683. Its totient is φ = 7971364512960.

The previous prime is 7971367336319. The next prime is 7971367336333. The reversal of 7971367336321 is 1236337631797.

The square root of 7971367336321 is 2823361.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 7960518030721 + 10849305600 = 2821439^2 + 104160^2 .

It is not a de Polignac number, because 7971367336321 - 2¹ = 7971367336319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7971367330321) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1411681 + ... + 4235041.

It is an arithmetic number, because the mean of its divisors is an integer number (2657123386561).

Almost surely, 2^{7971367336321} is an apocalyptic number.

7971367336321 is the 2823361-st square number.

7971367336321 is the 1411681-st centered octagonal number.

It is an amenable number.

7971367336321 is a deficient number, since it is larger than the sum of its proper divisors (2823362).

7971367336321 is an frugal number, since it uses more digits than its factorization.

7971367336321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646722 (or 2823361 counting only the distinct ones).

The product of its digits is 18003384, while the sum is 58.

The spelling of 7971367336321 in words is "seven trillion, nine hundred seventy-one billion, three hundred sixty-seven million, three hundred thirty-six thousand, three hundred twenty-one".