13685033 has 2 divisors, whose sum is σ = 13685034. Its totient is φ = 13685032.

The previous prime is 13685029. The next prime is 13685047. The reversal of 13685033 is 33058631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13446889 + 238144 = 3667^2 + 488^2 .

It is an emirp because it is prime and its reverse (33058631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13685033 - 2² = 13685029 is a prime.

It is a super-2 number, since 2×13685033² = 374560256422178, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13684987 and 13685005.

It is not a weakly prime, because it can be changed into another prime (13685003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6842516 + 6842517.

It is an arithmetic number, because the mean of its divisors is an integer number (6842517).

Almost surely, 2^13685033 is an apocalyptic number.

It is an amenable number.

13685033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13685033 is an equidigital number, since it uses as much as digits as its factorization.

13685033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 13685033 is about 3699.3287228901. The cubic root of 13685033 is about 239.1930828844.

The spelling of 13685033 in words is "thirteen million, six hundred eighty-five thousand, thirty-three".