164085117 has 16 divisors (see below), whose sum is σ = 252846720. Its totient is φ = 92708352.

The previous prime is 164085101. The next prime is 164085193. The reversal of 164085117 is 711580461.

It is a happy number.

It is not a de Polignac number, because 164085117 - 2⁴ = 164085101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164085017) 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 in 15 ways as a sum of consecutive naturals, for example, 42028 + ... + 45765.

It is an arithmetic number, because the mean of its divisors is an integer number (15802920).

Almost surely, 2^164085117 is an apocalyptic number.

It is an amenable number.

164085117 is a deficient number, since it is larger than the sum of its proper divisors (88761603).

164085117 is an equidigital number, since it uses as much as digits as its factorization.

164085117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87892.

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 164085117 is about 12809.5713043021. The cubic root of 164085117 is about 547.4650472880.

The spelling of 164085117 in words is "one hundred sixty-four million, eighty-five thousand, one hundred seventeen".