13003165 has 32 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 8219904.

The previous prime is 13003129. The next prime is 13003171. The reversal of 13003165 is 56130031.

13003165 = 50² + 51² + ... + 339².

It is not a de Polignac number, because 13003165 - 2⁷ = 13003037 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 23067 + ... + 23623.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 2^13003165 is an apocalyptic number.

It is an amenable number.

13003165 is a deficient number, since it is larger than the sum of its proper divisors (6281315).

13003165 is a wasteful number, since it uses less digits than its factorization.

13003165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 13003165 is about 3605.9901552833. The cubic root of 13003165 is about 235.1525492091.

Adding to 13003165 its reverse (56130031), we get a palindrome (69133196).

It can be divided in two parts, 1300 and 3165, that added together give a triangular number (4465 = T₉₄).

The spelling of 13003165 in words is "thirteen million, three thousand, one hundred sixty-five".