13813417 has 2 divisors, whose sum is σ = 13813418. Its totient is φ = 13813416.

The previous prime is 13813411. The next prime is 13813421. The reversal of 13813417 is 71431831.

13813417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13808656 + 4761 = 3716^2 + 69^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13813417 is a prime.

It is a super-3 number, since 3×13813417³ (a number of 22 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13813411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6906708 + 6906709.

It is an arithmetic number, because the mean of its divisors is an integer number (6906709).

Almost surely, 2^13813417 is an apocalyptic number.

It is an amenable number.

13813417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13813417 is an equidigital number, since it uses as much as digits as its factorization.

13813417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 28.

The square root of 13813417 is about 3716.6405529725. The cubic root of 13813417 is about 239.9387401518.

The spelling of 13813417 in words is "thirteen million, eight hundred thirteen thousand, four hundred seventeen".