417640133 has 2 divisors, whose sum is σ = 417640134. Its totient is φ = 417640132.

The previous prime is 417640117. The next prime is 417640169. The reversal of 417640133 is 331046714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 357701569 + 59938564 = 18913^2 + 7742^2 .

It is a cyclic number.

It is not a de Polignac number, because 417640133 - 2⁴ = 417640117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 417640096 and 417640105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417640633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208820066 + 208820067.

It is an arithmetic number, because the mean of its divisors is an integer number (208820067).

Almost surely, 2^417640133 is an apocalyptic number.

It is an amenable number.

417640133 is a deficient number, since it is larger than the sum of its proper divisors (1).

417640133 is an equidigital number, since it uses as much as digits as its factorization.

417640133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 417640133 is about 20436.2455700650. The cubic root of 417640133 is about 747.4820049135.

Adding to 417640133 its reverse (331046714), we get a palindrome (748686847).

The spelling of 417640133 in words is "four hundred seventeen million, six hundred forty thousand, one hundred thirty-three".