13405813 has 2 divisors, whose sum is σ = 13405814. Its totient is φ = 13405812.

The previous prime is 13405807. The next prime is 13405817. The reversal of 13405813 is 31850431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12802084 + 603729 = 3578^2 + 777^2 .

It is an emirp because it is prime and its reverse (31850431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13405813 - 2⁵ = 13405781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13405817) 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, 6702906 + 6702907.

It is an arithmetic number, because the mean of its divisors is an integer number (6702907).

Almost surely, 2^13405813 is an apocalyptic number.

It is an amenable number.

13405813 is a deficient number, since it is larger than the sum of its proper divisors (1).

13405813 is an equidigital number, since it uses as much as digits as its factorization.

13405813 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 25.

The square root of 13405813 is about 3661.3949527468. The cubic root of 13405813 is about 237.5551148174. Note that the first 3 decimals are identical.

The spelling of 13405813 in words is "thirteen million, four hundred five thousand, eight hundred thirteen".