13288065 has 48 divisors (see below), whose sum is σ = 25116480. Its totient is φ = 5980800.

The previous prime is 13288063. The next prime is 13288103. The reversal of 13288065 is 56088231.

It is a happy number.

It is not a de Polignac number, because 13288065 - 2¹ = 13288063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13288063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74146 + ... + 74324.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 2^13288065 is an apocalyptic number.

13288065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13288065 is a deficient number, since it is larger than the sum of its proper divisors (11828415).

13288065 is a wasteful number, since it uses less digits than its factorization.

13288065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 13288065 is about 3645.2798246500. The cubic root of 13288065 is about 236.8575583030.

The spelling of 13288065 in words is "thirteen million, two hundred eighty-eight thousand, sixty-five".