13205905 has 8 divisors (see below), whose sum is σ = 15867072. Its totient is φ = 10551408.

The previous prime is 13205891. The next prime is 13205953. The reversal of 13205905 is 50950231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13205905 - 2⁹ = 13205393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13205905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5502 + ... + 7528.

It is an arithmetic number, because the mean of its divisors is an integer number (1983384).

Almost surely, 2^13205905 is an apocalyptic number.

It is an amenable number.

13205905 is a deficient number, since it is larger than the sum of its proper divisors (2661167).

13205905 is a wasteful number, since it uses less digits than its factorization.

13205905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 13205905 is about 3633.9929829321. The cubic root of 13205905 is about 236.3683859320.

It can be divided in two parts, 1320 and 5905, that added together give a square (7225 = 85²).

The spelling of 13205905 in words is "thirteen million, two hundred five thousand, nine hundred five".