164085567193 has 2 divisors, whose sum is σ = 164085567194. Its totient is φ = 164085567192.

The previous prime is 164085567167. The next prime is 164085567199. The reversal of 164085567193 is 391765580461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149407760089 + 14677807104 = 386533^2 + 121152^2 .

It is a cyclic number.

It is not a de Polignac number, because 164085567193 - 2³³ = 155495632601 is a prime.

It is a super-2 number, since 2×164085567193² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (164085567199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82042783596 + 82042783597.

It is an arithmetic number, because the mean of its divisors is an integer number (82042783597).

Almost surely, 2^164085567193 is an apocalyptic number.

It is an amenable number.

164085567193 is a deficient number, since it is larger than the sum of its proper divisors (1).

164085567193 is an equidigital number, since it uses as much as digits as its factorization.

164085567193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 164085567193 in words is "one hundred sixty-four billion, eighty-five million, five hundred sixty-seven thousand, one hundred ninety-three".