414334321 has 2 divisors, whose sum is σ = 414334322. Its totient is φ = 414334320.

The previous prime is 414334303. The next prime is 414334331. The reversal of 414334321 is 123433414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256480225 + 157854096 = 16015^2 + 12564^2 .

It is a cyclic number.

It is not a de Polignac number, because 414334321 - 2¹¹ = 414332273 is a prime.

It is not a weakly prime, because it can be changed into another prime (414334301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207167160 + 207167161.

It is an arithmetic number, because the mean of its divisors is an integer number (207167161).

Almost surely, 2^414334321 is an apocalyptic number.

It is an amenable number.

414334321 is a deficient number, since it is larger than the sum of its proper divisors (1).

414334321 is an equidigital number, since it uses as much as digits as its factorization.

414334321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 25.

The square root of 414334321 is about 20355.2037818343. The cubic root of 414334321 is about 745.5045579857.

Adding to 414334321 its reverse (123433414), we get a palindrome (537767735).

It can be divided in two parts, 41433 and 4321, that added together give a palindrome (45754).

The spelling of 414334321 in words is "four hundred fourteen million, three hundred thirty-four thousand, three hundred twenty-one".