164224213 has 2 divisors, whose sum is σ = 164224214. Its totient is φ = 164224212.

The previous prime is 164224171. The next prime is 164224223. The reversal of 164224213 is 312422461.

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., 145371249 + 18852964 = 12057^2 + 4342^2 .

It is a cyclic number.

It is not a de Polignac number, because 164224213 - 2⁹ = 164223701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164224223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82112106 + 82112107.

It is an arithmetic number, because the mean of its divisors is an integer number (82112107).

Almost surely, 2^164224213 is an apocalyptic number.

It is an amenable number.

164224213 is a deficient number, since it is larger than the sum of its proper divisors (1).

164224213 is an equidigital number, since it uses as much as digits as its factorization.

164224213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 25.

The square root of 164224213 is about 12814.9995317987. Note that the first 3 decimals coincide. The cubic root of 164224213 is about 547.6197001334.

Adding to 164224213 its reverse (312422461), we get a palindrome (476646674).

The spelling of 164224213 in words is "one hundred sixty-four million, two hundred twenty-four thousand, two hundred thirteen".