414121217 has 2 divisors, whose sum is σ = 414121218. Its totient is φ = 414121216.

The previous prime is 414121163. The next prime is 414121229. The reversal of 414121217 is 712121414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 389509696 + 24611521 = 19736^2 + 4961^2 .

It is a cyclic number.

It is not a de Polignac number, because 414121217 - 2⁸ = 414120961 is a prime.

It is a super-2 number, since 2×414121217² = 342992764739122178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414121192 and 414121201.

It is not a weakly prime, because it can be changed into another prime (414121297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207060608 + 207060609.

It is an arithmetic number, because the mean of its divisors is an integer number (207060609).

Almost surely, 2^414121217 is an apocalyptic number.

It is an amenable number.

414121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

414121217 is an equidigital number, since it uses as much as digits as its factorization.

414121217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 448, while the sum is 23.

The square root of 414121217 is about 20349.9684766341. The cubic root of 414121217 is about 745.3767246233.

The spelling of 414121217 in words is "four hundred fourteen million, one hundred twenty-one thousand, two hundred seventeen".