414221 has 2 divisors, whose sum is σ = 414222. Its totient is φ = 414220.

The previous prime is 414217. The next prime is 414241. The reversal of 414221 is 122414.

414221 is nontrivially palindromic in base 7.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265225 + 148996 = 515^2 + 386^2 .

It is a cyclic number.

It is not a de Polignac number, because 414221 - 2² = 414217 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 414196 and 414205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207110 + 207111.

It is an arithmetic number, because the mean of its divisors is an integer number (207111).

2⁴¹⁴²²¹ is an apocalyptic number.

It is an amenable number.

414221 is a deficient number, since it is larger than the sum of its proper divisors (1).

414221 is an equidigital number, since it uses as much as digits as its factorization.

414221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64, while the sum is 14.

The square root of 414221 is about 643.6000310752. The cubic root of 414221 is about 74.5436586285.

Adding to 414221 its reverse (122414), we get a palindrome (536635).

The spelling of 414221 in words is "four hundred fourteen thousand, two hundred twenty-one", and thus it is an iban number.