97693128481 has 9 divisors (see below), whose sum is σ = 105790450419. Its totient is φ = 90174521736.

The previous prime is 97693128469. The next prime is 97693128487. The reversal of 97693128481 is 18482139679.

The square root of 97693128481 is 312559.

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., 14451646225 + 83241482256 = 120215^2 + 288516^2 .

It is not a de Polignac number, because 97693128481 - 2²¹ = 97691031329 is a prime.

It is a super-2 number, since 2×97693128481² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97693128487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4051246 + ... + 4075288.

It is an arithmetic number, because the mean of its divisors is an integer number (11754494491).

Almost surely, 2^97693128481 is an apocalyptic number.

97693128481 is the 312559-th square number.

97693128481 is the 156280-th centered octagonal number.

It is an amenable number.

97693128481 is a deficient number, since it is larger than the sum of its proper divisors (8097321938).

97693128481 is an frugal number, since it uses more digits than its factorization.

97693128481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48112 (or 24056 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 58.

The spelling of 97693128481 in words is "ninety-seven billion, six hundred ninety-three million, one hundred twenty-eight thousand, four hundred eighty-one".