97668125361 has 9 divisors (see below), whose sum is σ = 141077535339. Its totient is φ = 65111458536.

The previous prime is 97668125351. The next prime is 97668125383. The reversal of 97668125361 is 16352186679.

The square root of 97668125361 is 312519.

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

97668125361 is a `hidden beast` number, since 97 + 6 + 6 + 8 + 12 + 536 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27101390625 + 70566734736 = 164625^2 + 265644^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 97668125361 - 2²⁷ = 97533907633 is a prime.

It is a super-2 number, since 2×97668125361² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97668125298 and 97668125307.

It is not an unprimeable number, because it can be changed into a prime (97668125341) 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, 885471 + ... + 989643.

Almost surely, 2^97668125361 is an apocalyptic number.

97668125361 is the 312519-th square number.

97668125361 is the 156260-th centered octagonal number.

It is an amenable number.

97668125361 is a deficient number, since it is larger than the sum of its proper divisors (43409409978).

97668125361 is an frugal number, since it uses more digits than its factorization.

97668125361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208352 (or 104176 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 97668125361 in words is "ninety-seven billion, six hundred sixty-eight million, one hundred twenty-five thousand, three hundred sixty-one".