13005645 has 16 divisors (see below), whose sum is σ = 20918400. Its totient is φ = 6899904.

The previous prime is 13005637. The next prime is 13005673. The reversal of 13005645 is 54650031.

13005645 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 13005645 - 2³ = 13005637 is a prime.

It is a super-3 number, since 3×13005645³ (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 807 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (1307400).

Almost surely, 2^13005645 is an apocalyptic number.

13005645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13005645 is a deficient number, since it is larger than the sum of its proper divisors (7912755).

13005645 is a wasteful number, since it uses less digits than its factorization.

13005645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 13005645 is about 3606.3340111532. The cubic root of 13005645 is about 235.1674979094.

Adding to 13005645 its reverse (54650031), we get a palindrome (67655676).

The spelling of 13005645 in words is "thirteen million, five thousand, six hundred forty-five".