13028365 has 24 divisors (see below), whose sum is σ = 18644472. Its totient is φ = 8709120.

The previous prime is 13028363. The next prime is 13028369. The reversal of 13028365 is 56382031.

13028365 is digitally balanced in base 3, because in such base 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 2019241 + 11009124 = 1421^2 + 3318^2 .

It is not a de Polignac number, because 13028365 - 2¹ = 13028363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028363) 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 23 ways as a sum of consecutive naturals, for example, 9397 + ... + 10693.

It is an arithmetic number, because the mean of its divisors is an integer number (776853).

Almost surely, 2^13028365 is an apocalyptic number.

It is an amenable number.

13028365 is a deficient number, since it is larger than the sum of its proper divisors (5616107).

13028365 is a wasteful number, since it uses less digits than its factorization.

13028365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 13028365 is about 3609.4826499098. The cubic root of 13028365 is about 235.3043589231.

The spelling of 13028365 in words is "thirteen million, twenty-eight thousand, three hundred sixty-five".