220164221 has 2 divisors, whose sum is σ = 220164222. Its totient is φ = 220164220.

The previous prime is 220164199. The next prime is 220164227. The reversal of 220164221 is 122461022.

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., 138062500 + 82101721 = 11750^2 + 9061^2 .

It is a cyclic number.

It is not a de Polignac number, because 220164221 - 2¹⁰ = 220163197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220164193 and 220164202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220164227) 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, 110082110 + 110082111.

It is an arithmetic number, because the mean of its divisors is an integer number (110082111).

Almost surely, 2^220164221 is an apocalyptic number.

It is an amenable number.

220164221 is a deficient number, since it is larger than the sum of its proper divisors (1).

220164221 is an equidigital number, since it uses as much as digits as its factorization.

220164221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 220164221 is about 14837.9318302788. The cubic root of 220164221 is about 603.8312440624.

The spelling of 220164221 in words is "two hundred twenty million, one hundred sixty-four thousand, two hundred twenty-one".