414114331 has 2 divisors, whose sum is σ = 414114332. Its totient is φ = 414114330.

The previous prime is 414114319. The next prime is 414114341. The reversal of 414114331 is 133411414.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414114331 - 2¹³ = 414106139 is a prime.

It is a super-2 number, since 2×414114331² = 342981358279155122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414114301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207057165 + 207057166.

It is an arithmetic number, because the mean of its divisors is an integer number (207057166).

Almost surely, 2^414114331 is an apocalyptic number.

414114331 is a deficient number, since it is larger than the sum of its proper divisors (1).

414114331 is an equidigital number, since it uses as much as digits as its factorization.

414114331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 22.

The square root of 414114331 is about 20349.7992864795. The cubic root of 414114331 is about 745.3725932302.

Adding to 414114331 its reverse (133411414), we get a palindrome (547525745).

The spelling of 414114331 in words is "four hundred fourteen million, one hundred fourteen thousand, three hundred thirty-one".