417411101 has 2 divisors, whose sum is σ = 417411102. Its totient is φ = 417411100.

The previous prime is 417411091. The next prime is 417411103. The reversal of 417411101 is 101114714.

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., 405055876 + 12355225 = 20126^2 + 3515^2 .

It is a cyclic number.

It is not a de Polignac number, because 417411101 - 2¹⁸ = 417148957 is a prime.

It is a Sophie Germain prime.

Together with 417411103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417411103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208705550 + 208705551.

It is an arithmetic number, because the mean of its divisors is an integer number (208705551).

Almost surely, 2^417411101 is an apocalyptic number.

It is an amenable number.

417411101 is a deficient number, since it is larger than the sum of its proper divisors (1).

417411101 is an equidigital number, since it uses as much as digits as its factorization.

417411101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 417411101 is about 20430.6412283119. The cubic root of 417411101 is about 747.3453413211.

Adding to 417411101 its reverse (101114714), we get a palindrome (518525815).

The spelling of 417411101 in words is "four hundred seventeen million, four hundred eleven thousand, one hundred one".