13835309 has 2 divisors, whose sum is σ = 13835310. Its totient is φ = 13835308.

The previous prime is 13835281. The next prime is 13835321. The reversal of 13835309 is 90353831.

13835309 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., 9517225 + 4318084 = 3085^2 + 2078^2 .

It is an emirp because it is prime and its reverse (90353831) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13835309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13835359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6917654 + 6917655.

It is an arithmetic number, because the mean of its divisors is an integer number (6917655).

Almost surely, 2^13835309 is an apocalyptic number.

It is an amenable number.

13835309 is a deficient number, since it is larger than the sum of its proper divisors (1).

13835309 is an equidigital number, since it uses as much as digits as its factorization.

13835309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 13835309 is about 3719.5845198086. The cubic root of 13835309 is about 240.0654277636.

The spelling of 13835309 in words is "thirteen million, eight hundred thirty-five thousand, three hundred nine".