414243217 has 2 divisors, whose sum is σ = 414243218. Its totient is φ = 414243216.

The previous prime is 414243211. The next prime is 414243229. The reversal of 414243217 is 712342414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217149696 + 197093521 = 14736^2 + 14039^2 .

It is a cyclic number.

It is not a de Polignac number, because 414243217 - 2²³ = 405854609 is a prime.

It is equal to p_22054708 and since 414243217 and 22054708 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (414243211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207121608 + 207121609.

It is an arithmetic number, because the mean of its divisors is an integer number (207121609).

Almost surely, 2^414243217 is an apocalyptic number.

It is an amenable number.

414243217 is a deficient number, since it is larger than the sum of its proper divisors (1).

414243217 is an equidigital number, since it uses as much as digits as its factorization.

414243217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5376, while the sum is 28.

The square root of 414243217 is about 20352.9658035383. The cubic root of 414243217 is about 745.4499133647.

The spelling of 414243217 in words is "four hundred fourteen million, two hundred forty-three thousand, two hundred seventeen".