13800629 has 2 divisors, whose sum is σ = 13800630. Its totient is φ = 13800628.

The previous prime is 13800581. The next prime is 13800637. The reversal of 13800629 is 92600831.

13800629 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., 12180100 + 1620529 = 3490^2 + 1273^2 .

It is an emirp because it is prime and its reverse (92600831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13800629 - 2⁸ = 13800373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13800679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6900314 + 6900315.

It is an arithmetic number, because the mean of its divisors is an integer number (6900315).

Almost surely, 2^13800629 is an apocalyptic number.

It is an amenable number.

13800629 is a deficient number, since it is larger than the sum of its proper divisors (1).

13800629 is an equidigital number, since it uses as much as digits as its factorization.

13800629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 13800629 is about 3714.9197837908. The cubic root of 13800629 is about 239.8646748680.

The spelling of 13800629 in words is "thirteen million, eight hundred thousand, six hundred twenty-nine".