1027664017 has 2 divisors, whose sum is σ = 1027664018. Its totient is φ = 1027664016.

The previous prime is 1027663993. The next prime is 1027664083. The reversal of 1027664017 is 7104667201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1003368976 + 24295041 = 31676^2 + 4929^2 .

It is an emirp because it is prime and its reverse (7104667201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1027664017 - 2¹¹ = 1027661969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1027664087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513832008 + 513832009.

It is an arithmetic number, because the mean of its divisors is an integer number (513832009).

Almost surely, 2^1027664017 is an apocalyptic number.

It is an amenable number.

1027664017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1027664017 is an equidigital number, since it uses as much as digits as its factorization.

1027664017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 1027664017 is about 32057.1991446539. The cubic root of 1027664017 is about 1009.1375891486.

The spelling of 1027664017 in words is "one billion, twenty-seven million, six hundred sixty-four thousand, seventeen".