414321113 has 6 divisors (see below), whose sum is σ = 424674702. Its totient is φ = 404214080.

The previous prime is 414321101. The next prime is 414321137. The reversal of 414321113 is 311123414.

It can be written as a sum of positive squares in 3 ways, for example, as 54346384 + 359974729 = 7372^2 + 18973^2 .

It is not a de Polignac number, because 414321113 - 2¹⁴ = 414304729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414323113) 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 in 5 ways as a sum of consecutive naturals, for example, 121556 + ... + 124917.

It is an arithmetic number, because the mean of its divisors is an integer number (70779117).

Almost surely, 2^414321113 is an apocalyptic number.

It is an amenable number.

414321113 is a deficient number, since it is larger than the sum of its proper divisors (10353589).

414321113 is an equidigital number, since it uses as much as digits as its factorization.

414321113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246555 (or 246514 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 414321113 is about 20354.8793413275. The cubic root of 414321113 is about 745.4966362597.

Adding to 414321113 its reverse (311123414), we get a palindrome (725444527).

The spelling of 414321113 in words is "four hundred fourteen million, three hundred twenty-one thousand, one hundred thirteen".