414310121 has 2 divisors, whose sum is σ = 414310122. Its totient is φ = 414310120.

The previous prime is 414310097. The next prime is 414310129. The reversal of 414310121 is 121013414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 297907600 + 116402521 = 17260^2 + 10789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414310121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414310121.

It is not a weakly prime, because it can be changed into another prime (414310129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207155060 + 207155061.

It is an arithmetic number, because the mean of its divisors is an integer number (207155061).

Almost surely, 2^414310121 is an apocalyptic number.

It is an amenable number.

414310121 is a deficient number, since it is larger than the sum of its proper divisors (1).

414310121 is an equidigital number, since it uses as much as digits as its factorization.

414310121 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 17.

The square root of 414310121 is about 20354.6093305669. The cubic root of 414310121 is about 745.4900434897.

Adding to 414310121 its reverse (121013414), we get a palindrome (535323535).

The spelling of 414310121 in words is "four hundred fourteen million, three hundred ten thousand, one hundred twenty-one".