97493193121 has 9 divisors (see below), whose sum is σ = 103571072499. Its totient is φ = 91753303584.

The previous prime is 97493193101. The next prime is 97493193131. The reversal of 97493193121 is 12139139479.

The square root of 97493193121 is 312239.

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., 75903005025 + 21590188096 = 275505^2 + 146936^2 .

It is not a de Polignac number, because 97493193121 - 2³⁵ = 63133454753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97493193101) 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, 5298880 + ... + 5317246.

Almost surely, 2^97493193121 is an apocalyptic number.

97493193121 is the 312239-th square number.

97493193121 is the 156120-th centered octagonal number.

It is an amenable number.

97493193121 is a deficient number, since it is larger than the sum of its proper divisors (6077879378).

97493193121 is an frugal number, since it uses more digits than its factorization.

97493193121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36768 (or 18384 counting only the distinct ones).

The product of its digits is 367416, while the sum is 49.

Multiplying 97493193121 by its sum of digits (49), we get a square (4777166462929 = 2185673²).

The spelling of 97493193121 in words is "ninety-seven billion, four hundred ninety-three million, one hundred ninety-three thousand, one hundred twenty-one".