164740182017 has 2 divisors, whose sum is σ = 164740182018. Its totient is φ = 164740182016.

The previous prime is 164740181993. The next prime is 164740182151. The reversal of 164740182017 is 710281047461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141549765361 + 23190416656 = 376231^2 + 152284^2 .

It is an emirp because it is prime and its reverse (710281047461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164740182017 - 2⁶ = 164740181953 is a prime.

It is not a weakly prime, because it can be changed into another prime (164748182017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82370091008 + 82370091009.

It is an arithmetic number, because the mean of its divisors is an integer number (82370091009).

Almost surely, 2^164740182017 is an apocalyptic number.

It is an amenable number.

164740182017 is a deficient number, since it is larger than the sum of its proper divisors (1).

164740182017 is an equidigital number, since it uses as much as digits as its factorization.

164740182017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 164740182017 in words is "one hundred sixty-four billion, seven hundred forty million, one hundred eighty-two thousand, seventeen".