13530165 has 32 divisors (see below), whose sum is σ = 24178176. Its totient is φ = 6404160.

The previous prime is 13530163. The next prime is 13530169. The reversal of 13530165 is 56103531.

13530165 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13530165 - 2¹ = 13530163 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6142 + ... + 8048.

It is an arithmetic number, because the mean of its divisors is an integer number (755568).

Almost surely, 2^13530165 is an apocalyptic number.

13530165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13530165 is a deficient number, since it is larger than the sum of its proper divisors (10648011).

13530165 is a wasteful number, since it uses less digits than its factorization.

13530165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 13530165 is about 3678.3372602305. The cubic root of 13530165 is about 238.2873738406.

Adding to 13530165 its reverse (56103531), we get a palindrome (69633696).

It can be divided in two parts, 13530 and 165, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 13530165 in words is "thirteen million, five hundred thirty thousand, one hundred sixty-five".