13680041 has 2 divisors, whose sum is σ = 13680042. Its totient is φ = 13680040.

The previous prime is 13680011. The next prime is 13680061. The reversal of 13680041 is 14008631.

13680041 is digitally balanced in base 3, 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., 13542400 + 137641 = 3680^2 + 371^2 .

It is a cyclic number.

It is not a de Polignac number, because 13680041 - 2²² = 9485737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13679989 and 13680016.

It is not a weakly prime, because it can be changed into another prime (13680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6840020 + 6840021.

It is an arithmetic number, because the mean of its divisors is an integer number (6840021).

Almost surely, 2^13680041 is an apocalyptic number.

It is an amenable number.

13680041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13680041 is an equidigital number, since it uses as much as digits as its factorization.

13680041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13680041 is about 3698.6539443425. The cubic root of 13680041 is about 239.1639952165.

Adding to 13680041 its reverse (14008631), we get a palindrome (27688672).

The spelling of 13680041 in words is "thirteen million, six hundred eighty thousand, forty-one".