27638284217 has 2 divisors, whose sum is σ = 27638284218. Its totient is φ = 27638284216.

The previous prime is 27638284187. The next prime is 27638284273. The reversal of 27638284217 is 71248283672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26809477696 + 828806521 = 163736^2 + 28789^2 .

It is a cyclic number.

It is not a de Polignac number, because 27638284217 - 2⁸ = 27638283961 is a prime.

It is a super-3 number, since 3×27638284217³ (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (27638284277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13819142108 + 13819142109.

It is an arithmetic number, because the mean of its divisors is an integer number (13819142109).

Almost surely, 2^27638284217 is an apocalyptic number.

It is an amenable number.

27638284217 is a deficient number, since it is larger than the sum of its proper divisors (1).

27638284217 is an equidigital number, since it uses as much as digits as its factorization.

27638284217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1806336, while the sum is 50.

The spelling of 27638284217 in words is "twenty-seven billion, six hundred thirty-eight million, two hundred eighty-four thousand, two hundred seventeen".