13378365 has 144 divisors (see below), whose sum is σ = 32532864. Its totient is φ = 5132160.

The previous prime is 13378357. The next prime is 13378369. The reversal of 13378365 is 56387331.

13378365 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13378365 - 2³ = 13378357 is a prime.

13378365 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13378369) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1029099 + ... + 1029111.

Almost surely, 2^13378365 is an apocalyptic number.

13378365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13378365 is an abundant number, since it is smaller than the sum of its proper divisors (19154499).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13378365 is a wasteful number, since it uses less digits than its factorization.

13378365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13378365 is about 3657.6447339784. The cubic root of 13378365 is about 237.3928750493.

The spelling of 13378365 in words is "thirteen million, three hundred seventy-eight thousand, three hundred sixty-five".