13405305 has 16 divisors (see below), whose sum is σ = 21498624. Its totient is φ = 7132800.

The previous prime is 13405291. The next prime is 13405307. The reversal of 13405305 is 50350431.

13405305 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13405305 - 2⁴ = 13405289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13405307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8272 + ... + 9758.

It is an arithmetic number, because the mean of its divisors is an integer number (1343664).

Almost surely, 2^13405305 is an apocalyptic number.

13405305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13405305 is a deficient number, since it is larger than the sum of its proper divisors (8093319).

13405305 is a wasteful number, since it uses less digits than its factorization.

13405305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 13405305 is about 3661.3255796228. The cubic root of 13405305 is about 237.5521141410.

Adding to 13405305 its reverse (50350431), we get a palindrome (63755736).

The spelling of 13405305 in words is "thirteen million, four hundred five thousand, three hundred five".