164085193 has 2 divisors, whose sum is σ = 164085194. Its totient is φ = 164085192.

The previous prime is 164085101. The next prime is 164085199. The reversal of 164085193 is 391580461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83229129 + 80856064 = 9123^2 + 8992^2 .

It is an emirp because it is prime and its reverse (391580461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164085193 - 2²⁵ = 130530761 is a prime.

It is not a weakly prime, because it can be changed into another prime (164085199) 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, 82042596 + 82042597.

It is an arithmetic number, because the mean of its divisors is an integer number (82042597).

Almost surely, 2^164085193 is an apocalyptic number.

It is an amenable number.

164085193 is a deficient number, since it is larger than the sum of its proper divisors (1).

164085193 is an equidigital number, since it uses as much as digits as its factorization.

164085193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 164085193 is about 12809.5742708335. The cubic root of 164085193 is about 547.4651318119.

The spelling of 164085193 in words is "one hundred sixty-four million, eighty-five thousand, one hundred ninety-three".