2097967645817 has 2 divisors, whose sum is σ = 2097967645818. Its totient is φ = 2097967645816.

The previous prime is 2097967645733. The next prime is 2097967645843. The reversal of 2097967645817 is 7185467697902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1951262559376 + 146705086441 = 1396876^2 + 383021^2 .

It is a cyclic number.

It is not a de Polignac number, because 2097967645817 - 2⁸ = 2097967645561 is a prime.

It is not a weakly prime, because it can be changed into another prime (2097967645897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1048983822908 + 1048983822909.

It is an arithmetic number, because the mean of its divisors is an integer number (1048983822909).

Almost surely, 2^{2097967645817} is an apocalyptic number.

It is an amenable number.

2097967645817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2097967645817 is an equidigital number, since it uses as much as digits as its factorization.

2097967645817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320060160, while the sum is 71.

The spelling of 2097967645817 in words is "two trillion, ninety-seven billion, nine hundred sixty-seven million, six hundred forty-five thousand, eight hundred seventeen".