13500165 has 64 divisors (see below), whose sum is σ = 26634240. Its totient is φ = 5702400.

The previous prime is 13500163. The next prime is 13500173. The reversal of 13500165 is 56100531.

It is a happy number.

It is not a de Polignac number, because 13500165 - 2¹ = 13500163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133615 + ... + 133715.

It is an arithmetic number, because the mean of its divisors is an integer number (416160).

Almost surely, 2^13500165 is an apocalyptic number.

13500165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13500165 is a deficient number, since it is larger than the sum of its proper divisors (13134075).

13500165 is a wasteful number, since it uses less digits than its factorization.

13500165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 13500165 is about 3674.2570677621. The cubic root of 13500165 is about 238.1111278697. Note that the first 4 decimals are identical.

Adding to 13500165 its reverse (56100531), we get a palindrome (69600696).

The spelling of 13500165 in words is "thirteen million, five hundred thousand, one hundred sixty-five".