13378905 has 16 divisors (see below), whose sum is σ = 23784960. Its totient is φ = 7135344.

The previous prime is 13378903. The next prime is 13378921. The reversal of 13378905 is 50987331.

It is not a de Polignac number, because 13378905 - 2¹ = 13378903 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13378905.

It is not an unprimeable number, because it can be changed into a prime (13378903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49417 + ... + 49686.

It is an arithmetic number, because the mean of its divisors is an integer number (1486560).

Almost surely, 2^13378905 is an apocalyptic number.

13378905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13378905 is a deficient number, since it is larger than the sum of its proper divisors (10406055).

13378905 is an equidigital number, since it uses as much as digits as its factorization.

13378905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99117 (or 99111 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13378905 is about 3657.7185512283. The cubic root of 13378905 is about 237.3960690228.

The spelling of 13378905 in words is "thirteen million, three hundred seventy-eight thousand, nine hundred five".