13685201 has 2 divisors, whose sum is σ = 13685202. Its totient is φ = 13685200.

The previous prime is 13685173. The next prime is 13685209. The reversal of 13685201 is 10258631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13512976 + 172225 = 3676^2 + 415^2 .

It is a cyclic number.

It is not a de Polignac number, because 13685201 - 2¹⁸ = 13423057 is a prime.

It is not a weakly prime, because it can be changed into another prime (13685209) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6842600 + 6842601.

It is an arithmetic number, because the mean of its divisors is an integer number (6842601).

Almost surely, 2^13685201 is an apocalyptic number.

It is an amenable number.

13685201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13685201 is an equidigital number, since it uses as much as digits as its factorization.

13685201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 13685201 is about 3699.3514296428. The cubic root of 13685201 is about 239.1940616733.

It can be divided in two parts, 13685 and 201, that multiplied together give a triangular number (2750685 = T₂₃₄₅).

The spelling of 13685201 in words is "thirteen million, six hundred eighty-five thousand, two hundred one".