413223121 has 2 divisors, whose sum is σ = 413223122. Its totient is φ = 413223120.

The previous prime is 413223119. The next prime is 413223203. The reversal of 413223121 is 121322314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245235600 + 167987521 = 15660^2 + 12961^2 .

It is a cyclic number.

It is not a de Polignac number, because 413223121 - 2¹ = 413223119 is a prime.

Together with 413223119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (413223101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206611560 + 206611561.

It is an arithmetic number, because the mean of its divisors is an integer number (206611561).

Almost surely, 2^413223121 is an apocalyptic number.

It is an amenable number.

413223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

413223121 is an equidigital number, since it uses as much as digits as its factorization.

413223121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 413223121 is about 20327.8902250086. The cubic root of 413223121 is about 744.8375070140.

Adding to 413223121 its reverse (121322314), we get a palindrome (534545435).

The spelling of 413223121 in words is "four hundred thirteen million, two hundred twenty-three thousand, one hundred twenty-one".