13205393 has 2 divisors, whose sum is σ = 13205394. Its totient is φ = 13205392.

The previous prime is 13205363. The next prime is 13205419. The reversal of 13205393 is 39350231.

It is an a-pointer prime, because the next prime (13205419) can be obtained adding 13205393 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7579009 + 5626384 = 2753^2 + 2372^2 .

It is an emirp because it is prime and its reverse (39350231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13205393 - 2⁶ = 13205329 is a prime.

It is not a weakly prime, because it can be changed into another prime (13205303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6602696 + 6602697.

It is an arithmetic number, because the mean of its divisors is an integer number (6602697).

Almost surely, 2^13205393 is an apocalyptic number.

It is an amenable number.

13205393 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205393 is an equidigital number, since it uses as much as digits as its factorization.

13205393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 13205393 is about 3633.9225363235. The cubic root of 13205393 is about 236.3653311829.

The spelling of 13205393 in words is "thirteen million, two hundred five thousand, three hundred ninety-three".