413201221 has 2 divisors, whose sum is σ = 413201222. Its totient is φ = 413201220.

The previous prime is 413201213. The next prime is 413201281. The reversal of 413201221 is 122102314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328008321 + 85192900 = 18111^2 + 9230^2 .

It is a cyclic number.

It is not a de Polignac number, because 413201221 - 2³ = 413201213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413201195 and 413201204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413201281) 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, 206600610 + 206600611.

It is an arithmetic number, because the mean of its divisors is an integer number (206600611).

Almost surely, 2^413201221 is an apocalyptic number.

It is an amenable number.

413201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

413201221 is an equidigital number, since it uses as much as digits as its factorization.

413201221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 413201221 is about 20327.3515490828. The cubic root of 413201221 is about 744.8243484816.

Adding to 413201221 its reverse (122102314), we get a palindrome (535303535).

The spelling of 413201221 in words is "four hundred thirteen million, two hundred one thousand, two hundred twenty-one".