13585417 has 2 divisors, whose sum is σ = 13585418. Its totient is φ = 13585416.

The previous prime is 13585379. The next prime is 13585421. The reversal of 13585417 is 71458531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13388281 + 197136 = 3659^2 + 444^2 .

It is a cyclic number.

It is not a de Polignac number, because 13585417 - 2⁷ = 13585289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13585447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6792708 + 6792709.

It is an arithmetic number, because the mean of its divisors is an integer number (6792709).

Almost surely, 2^13585417 is an apocalyptic number.

It is an amenable number.

13585417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13585417 is an equidigital number, since it uses as much as digits as its factorization.

13585417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16800, while the sum is 34.

The square root of 13585417 is about 3685.8400670675. The cubic root of 13585417 is about 238.6112913759.

The spelling of 13585417 in words is "thirteen million, five hundred eighty-five thousand, four hundred seventeen".