27695736617 has 2 divisors, whose sum is σ = 27695736618. Its totient is φ = 27695736616.

The previous prime is 27695736569. The next prime is 27695736659. The reversal of 27695736617 is 71663759672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24905889856 + 2789846761 = 157816^2 + 52819^2 .

It is a cyclic number.

It is not a de Polignac number, because 27695736617 - 2²⁰ = 27694688041 is a prime.

It is not a weakly prime, because it can be changed into another prime (27695736667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13847868308 + 13847868309.

It is an arithmetic number, because the mean of its divisors is an integer number (13847868309).

Almost surely, 2^27695736617 is an apocalyptic number.

It is an amenable number.

27695736617 is a deficient number, since it is larger than the sum of its proper divisors (1).

27695736617 is an equidigital number, since it uses as much as digits as its factorization.

27695736617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20003760, while the sum is 59.

The spelling of 27695736617 in words is "twenty-seven billion, six hundred ninety-five million, seven hundred thirty-six thousand, six hundred seventeen".