4117216057897 has 2 divisors, whose sum is σ = 4117216057898. Its totient is φ = 4117216057896.

The previous prime is 4117216057861. The next prime is 4117216057931. The reversal of 4117216057897 is 7987506127114.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4007059111696 + 110156946201 = 2001764^2 + 331899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4117216057897 is a prime.

It is not a weakly prime, because it can be changed into another prime (4117216057847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2058608028948 + 2058608028949.

It is an arithmetic number, because the mean of its divisors is an integer number (2058608028949).

Almost surely, 2^{4117216057897} is an apocalyptic number.

It is an amenable number.

4117216057897 is a deficient number, since it is larger than the sum of its proper divisors (1).

4117216057897 is an equidigital number, since it uses as much as digits as its factorization.

4117216057897 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5927040, while the sum is 58.

The spelling of 4117216057897 in words is "four trillion, one hundred seventeen billion, two hundred sixteen million, fifty-seven thousand, eight hundred ninety-seven".