97127568830224 has 15 divisors (see below), whose sum is σ = 188184740987413. Its totient is φ = 48563764704448.

The previous prime is 97127568830203. The next prime is 97127568830291. The reversal of 97127568830224 is 42203886572179.

The square root of 97127568830224 is 9855332.

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

97127568830224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30880471280400 + 66247097549824 = 5557020^2 + 8139232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 38189412 + ... + 40653244.

It is a 2-persistent number, because it is pandigital, and so is 2⋅97127568830224 = 194255137660448, but 3⋅97127568830224 = 291382706490672 is not.

Almost surely, 2^{97127568830224} is an apocalyptic number.

97127568830224 is the 9855332-nd square number.

It is an amenable number.

97127568830224 is a deficient number, since it is larger than the sum of its proper divisors (91057172157189).

97127568830224 is an frugal number, since it uses more digits than its factorization.

97127568830224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927674 (or 2463835 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 97127568830224 in words is "ninety-seven trillion, one hundred twenty-seven billion, five hundred sixty-eight million, eight hundred thirty thousand, two hundred twenty-four".