13813637 has 2 divisors, whose sum is σ = 13813638. Its totient is φ = 13813636.

The previous prime is 13813577. The next prime is 13813643. The reversal of 13813637 is 73631831.

13813637 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., 13315201 + 498436 = 3649^2 + 706^2 .

It is a cyclic number.

It is not a de Polignac number, because 13813637 - 2¹⁴ = 13797253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13813237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6906818 + 6906819.

It is an arithmetic number, because the mean of its divisors is an integer number (6906819).

Almost surely, 2^13813637 is an apocalyptic number.

It is an amenable number.

13813637 is a deficient number, since it is larger than the sum of its proper divisors (1).

13813637 is an equidigital number, since it uses as much as digits as its factorization.

13813637 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 32.

The square root of 13813637 is about 3716.6701494752. The cubic root of 13813637 is about 239.9400139434.

The spelling of 13813637 in words is "thirteen million, eight hundred thirteen thousand, six hundred thirty-seven".