417082117 has 2 divisors, whose sum is σ = 417082118. Its totient is φ = 417082116.

The previous prime is 417082111. The next prime is 417082163. The reversal of 417082117 is 711280714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409414756 + 7667361 = 20234^2 + 2769^2 .

It is a cyclic number.

It is not a de Polignac number, because 417082117 - 2¹⁹ = 416557829 is a prime.

It is equal to p_22197811 and since 417082117 and 22197811 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417082111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208541058 + 208541059.

It is an arithmetic number, because the mean of its divisors is an integer number (208541059).

Almost surely, 2^417082117 is an apocalyptic number.

It is an amenable number.

417082117 is a deficient number, since it is larger than the sum of its proper divisors (1).

417082117 is an equidigital number, since it uses as much as digits as its factorization.

417082117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 31.

The square root of 417082117 is about 20422.5884010818. The cubic root of 417082117 is about 747.1489487795.

The spelling of 417082117 in words is "four hundred seventeen million, eighty-two thousand, one hundred seventeen".