13905905 has 16 divisors (see below), whose sum is σ = 18051600. Its totient is φ = 10222848.

The previous prime is 13905883. The next prime is 13905907. The reversal of 13905905 is 50950931.

It can be written as a sum of positive squares in 8 ways, for example, as 3297856 + 10608049 = 1816^2 + 3257^2 .

It is a cyclic number.

It is not a de Polignac number, because 13905905 - 2⁶ = 13905841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13905907) 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, 22379 + ... + 22991.

It is an arithmetic number, because the mean of its divisors is an integer number (1128225).

Almost surely, 2^13905905 is an apocalyptic number.

It is an amenable number.

13905905 is a deficient number, since it is larger than the sum of its proper divisors (4145695).

13905905 is a wasteful number, since it uses less digits than its factorization.

13905905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980.

The product of its (nonzero) digits is 6075, while the sum is 32.

The square root of 13905905 is about 3729.0622145521. The cubic root of 13905905 is about 240.4730542379.

The spelling of 13905905 in words is "thirteen million, nine hundred five thousand, nine hundred five".