2097792635567 has 2 divisors, whose sum is σ = 2097792635568. Its totient is φ = 2097792635566.

The previous prime is 2097792635551. The next prime is 2097792635569. The reversal of 2097792635567 is 7655362977902.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2097792635567 - 2⁴ = 2097792635551 is a prime.

It is a super-2 number, since 2×2097792635567² (a number of 25 digits) contains 22 as substring.

Together with 2097792635569, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2097792635497 and 2097792635506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2097792635569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1048896317783 + 1048896317784.

It is an arithmetic number, because the mean of its divisors is an integer number (1048896317784).

Almost surely, 2^{2097792635567} is an apocalyptic number.

2097792635567 is a deficient number, since it is larger than the sum of its proper divisors (1).

2097792635567 is an equidigital number, since it uses as much as digits as its factorization.

2097792635567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300056400, while the sum is 68.

The spelling of 2097792635567 in words is "two trillion, ninety-seven billion, seven hundred ninety-two million, six hundred thirty-five thousand, five hundred sixty-seven".