416821117 has 2 divisors, whose sum is σ = 416821118. Its totient is φ = 416821116.

The previous prime is 416821091. The next prime is 416821127. The reversal of 416821117 is 711128614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338339236 + 78481881 = 18394^2 + 8859^2 .

It is a cyclic number.

It is not a de Polignac number, because 416821117 - 2¹¹ = 416819069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416821127) 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, 208410558 + 208410559.

It is an arithmetic number, because the mean of its divisors is an integer number (208410559).

Almost surely, 2^416821117 is an apocalyptic number.

It is an amenable number.

416821117 is a deficient number, since it is larger than the sum of its proper divisors (1).

416821117 is an equidigital number, since it uses as much as digits as its factorization.

416821117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 31.

The square root of 416821117 is about 20416.1974177367. The cubic root of 416821117 is about 746.9930669531.

The spelling of 416821117 in words is "four hundred sixteen million, eight hundred twenty-one thousand, one hundred seventeen".