164233217 has 2 divisors, whose sum is σ = 164233218. Its totient is φ = 164233216.

The previous prime is 164233193. The next prime is 164233219. The reversal of 164233217 is 712332461.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97140736 + 67092481 = 9856^2 + 8191^2 .

It is an emirp because it is prime and its reverse (712332461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164233217 - 2²² = 160038913 is a prime.

Together with 164233219, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164233217.

It is not a weakly prime, because it can be changed into another prime (164233219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82116608 + 82116609.

It is an arithmetic number, because the mean of its divisors is an integer number (82116609).

It is a Proth number, since it is equal to 1253 ⋅ 2¹⁷ + 1 and 1253 < 2¹⁷.

Almost surely, 2^164233217 is an apocalyptic number.

It is an amenable number.

164233217 is a deficient number, since it is larger than the sum of its proper divisors (1).

164233217 is an equidigital number, since it uses as much as digits as its factorization.

164233217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 29.

The square root of 164233217 is about 12815.3508340583. The cubic root of 164233217 is about 547.6297081535.

Adding to 164233217 its reverse (712332461), we get a palindrome (876565678).

The spelling of 164233217 in words is "one hundred sixty-four million, two hundred thirty-three thousand, two hundred seventeen".