97627617852097 has 2 divisors, whose sum is σ = 97627617852098. Its totient is φ = 97627617852096.

The previous prime is 97627617852077. The next prime is 97627617852157. The reversal of 97627617852097 is 79025871672679.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67881763643521 + 29745854208576 = 8239039^2 + 5453976^2 .

It is a cyclic number.

It is not a de Polignac number, because 97627617852097 - 2⁷ = 97627617851969 is a prime.

It is not a weakly prime, because it can be changed into another prime (97627617852007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48813808926048 + 48813808926049.

It is an arithmetic number, because the mean of its divisors is an integer number (48813808926049).

Almost surely, 2^{97627617852097} is an apocalyptic number.

It is an amenable number.

97627617852097 is a deficient number, since it is larger than the sum of its proper divisors (1).

97627617852097 is an equidigital number, since it uses as much as digits as its factorization.

97627617852097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120210560, while the sum is 76.

The spelling of 97627617852097 in words is "ninety-seven trillion, six hundred twenty-seven billion, six hundred seventeen million, eight hundred fifty-two thousand, ninety-seven".