97672878595681 has 27 divisors (see below), whose sum is σ = 101805816712761. Its totient is φ = 93705631545024.

The previous prime is 97672878595679. The next prime is 97672878595793. The reversal of 97672878595681 is 18659587827679.

The square root of 97672878595681 is 9882959.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24364007152081 + 73308871443600 = 4935991^2 + 8562060^2 .

It is not a de Polignac number, because 97672878595681 - 2¹ = 97672878595679 is a prime.

It is a super-2 number, since 2×97672878595681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97672878595592 and 97672878595601.

It is not an unprimeable number, because it can be changed into a prime (97672878545681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26693870430 + ... + 26693874088.

Almost surely, 2^{97672878595681} is an apocalyptic number.

97672878595681 is the 9882959-th square number.

97672878595681 is the 4941480-th centered octagonal number.

It is an amenable number.

97672878595681 is a deficient number, since it is larger than the sum of its proper divisors (4132938117080).

97672878595681 is an frugal number, since it uses more digits than its factorization.

97672878595681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7538 (or 3769 counting only the distinct ones).

The product of its digits is 25604812800, while the sum is 88.

The spelling of 97672878595681 in words is "ninety-seven trillion, six hundred seventy-two billion, eight hundred seventy-eight million, five hundred ninety-five thousand, six hundred eighty-one".