417353113 has 2 divisors, whose sum is σ = 417353114. Its totient is φ = 417353112.

The previous prime is 417353099. The next prime is 417353119. The reversal of 417353113 is 311353714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251793424 + 165559689 = 15868^2 + 12867^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-417353113 is a prime.

It is not a weakly prime, because it can be changed into another prime (417353119) 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, 208676556 + 208676557.

It is an arithmetic number, because the mean of its divisors is an integer number (208676557).

Almost surely, 2^417353113 is an apocalyptic number.

It is an amenable number.

417353113 is a deficient number, since it is larger than the sum of its proper divisors (1).

417353113 is an equidigital number, since it uses as much as digits as its factorization.

417353113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 28.

The square root of 417353113 is about 20429.2220360933. Note that the first 3 decimals coincide. The cubic root of 417353113 is about 747.3107319008.

The spelling of 417353113 in words is "four hundred seventeen million, three hundred fifty-three thousand, one hundred thirteen".