431220217 has 2 divisors, whose sum is σ = 431220218. Its totient is φ = 431220216.

The previous prime is 431220191. The next prime is 431220239. The reversal of 431220217 is 712022134.

It is an a-pointer prime, because the next prime (431220239) can be obtained adding 431220217 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 351225081 + 79995136 = 18741^2 + 8944^2 .

It is a cyclic number.

It is not a de Polignac number, because 431220217 - 2¹¹ = 431218169 is a prime.

It is not a weakly prime, because it can be changed into another prime (431220277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215610108 + 215610109.

It is an arithmetic number, because the mean of its divisors is an integer number (215610109).

Almost surely, 2^431220217 is an apocalyptic number.

It is an amenable number.

431220217 is a deficient number, since it is larger than the sum of its proper divisors (1).

431220217 is an equidigital number, since it uses as much as digits as its factorization.

431220217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 431220217 is about 20765.8425545413. The cubic root of 431220217 is about 755.4975110742.

The spelling of 431220217 in words is "four hundred thirty-one million, two hundred twenty thousand, two hundred seventeen".