13088385 has 40 divisors (see below), whose sum is σ = 24855336. Its totient is φ = 6566400.

The previous prime is 13088381. The next prime is 13088401. The reversal of 13088385 is 58388031.

It is a happy number.

13088385 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 641601 + 12446784 = 801^2 + 3528^2 .

It is not a de Polignac number, because 13088385 - 2² = 13088381 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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13088381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5935 + ... + 7835.

Almost surely, 2^13088385 is an apocalyptic number.

13088385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13088385 is a deficient number, since it is larger than the sum of its proper divisors (11766951).

13088385 is a wasteful number, since it uses less digits than its factorization.

13088385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 13088385 is about 3617.7873071810. The cubic root of 13088385 is about 235.6651444193.

The spelling of 13088385 in words is "thirteen million, eighty-eight thousand, three hundred eighty-five".