97353984256 has 27 divisors (see below), whose sum is σ = 194337645033. Its totient is φ = 48674496000.

The previous prime is 97353984251. The next prime is 97353984283. The reversal of 97353984256 is 65248935379.

The square root of 97353984256 is 312016.

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., 52342118656 + 45011865600 = 228784^2 + 212160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97353984194 and 97353984203.

It is not an unprimeable number, because it can be changed into a prime (97353984251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4982506 + ... + 5002006.

Almost surely, 2^97353984256 is an apocalyptic number.

97353984256 is the 312016-th square number.

It is an amenable number.

97353984256 is a deficient number, since it is larger than the sum of its proper divisors (96983660777).

97353984256 is an frugal number, since it uses more digits than its factorization.

97353984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39018 (or 19503 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 61.

The spelling of 97353984256 in words is "ninety-seven billion, three hundred fifty-three million, nine hundred eighty-four thousand, two hundred fifty-six".