164580217 has 2 divisors, whose sum is σ = 164580218. Its totient is φ = 164580216.

The previous prime is 164580173. The next prime is 164580233. The reversal of 164580217 is 712085461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89567296 + 75012921 = 9464^2 + 8661^2 .

It is a cyclic number.

It is not a de Polignac number, because 164580217 - 2²⁷ = 30362489 is a prime.

It is not a weakly prime, because it can be changed into another prime (164580277) 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, 82290108 + 82290109.

It is an arithmetic number, because the mean of its divisors is an integer number (82290109).

Almost surely, 2^164580217 is an apocalyptic number.

It is an amenable number.

164580217 is a deficient number, since it is larger than the sum of its proper divisors (1).

164580217 is an equidigital number, since it uses as much as digits as its factorization.

164580217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 164580217 is about 12828.8821414806. The cubic root of 164580217 is about 548.0151231463.

The spelling of 164580217 in words is "one hundred sixty-four million, five hundred eighty thousand, two hundred seventeen".