417314141 has 2 divisors, whose sum is σ = 417314142. Its totient is φ = 417314140.

The previous prime is 417314137. The next prime is 417314153. The reversal of 417314141 is 141413714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301751641 + 115562500 = 17371^2 + 10750^2 .

It is a cyclic number.

It is not a de Polignac number, because 417314141 - 2² = 417314137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 417314141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417314041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208657070 + 208657071.

It is an arithmetic number, because the mean of its divisors is an integer number (208657071).

Almost surely, 2^417314141 is an apocalyptic number.

It is an amenable number.

417314141 is a deficient number, since it is larger than the sum of its proper divisors (1).

417314141 is an equidigital number, since it uses as much as digits as its factorization.

417314141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

The square root of 417314141 is about 20428.2681840630. The cubic root of 417314141 is about 747.2874701436.

Adding to 417314141 its reverse (141413714), we get a palindrome (558727855).

The spelling of 417314141 in words is "four hundred seventeen million, three hundred fourteen thousand, one hundred forty-one".