13117905 has 12 divisors (see below), whose sum is σ = 22737780. Its totient is φ = 6996192.

The previous prime is 13117891. The next prime is 13117919. The reversal of 13117905 is 50971131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13117891) and next prime (13117919).

It can be written as a sum of positive squares in 2 ways, for example, as 8242641 + 4875264 = 2871^2 + 2208^2 .

It is not a de Polignac number, because 13117905 - 2⁵ = 13117873 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145710 + ... + 145799.

It is an arithmetic number, because the mean of its divisors is an integer number (1894815).

Almost surely, 2^13117905 is an apocalyptic number.

13117905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13117905 is a deficient number, since it is larger than the sum of its proper divisors (9619875).

13117905 is a wasteful number, since it uses less digits than its factorization.

13117905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291520 (or 291517 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 13117905 is about 3621.8648511506. The cubic root of 13117905 is about 235.8421871784.

It can be divided in two parts, 1311 and 7905, that added together give a square (9216 = 96²).

The spelling of 13117905 in words is "thirteen million, one hundred seventeen thousand, nine hundred five".