13824045 has 12 divisors (see below), whose sum is σ = 23961756. Its totient is φ = 7372800.

The previous prime is 13824023. The next prime is 13824049. The reversal of 13824045 is 54042831.

13824045 is digitally balanced in base 2, 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 2 ways, for example, as 9771876 + 4052169 = 3126^2 + 2013^2 .

It is not a de Polignac number, because 13824045 - 2¹⁰ = 13823021 is a prime.

It is a super-2 number, since 2×13824045² = 382208440324050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153556 + ... + 153645.

It is an arithmetic number, because the mean of its divisors is an integer number (1996813).

Almost surely, 2^13824045 is an apocalyptic number.

13824045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13824045 is a deficient number, since it is larger than the sum of its proper divisors (10137711).

13824045 is a wasteful number, since it uses less digits than its factorization.

13824045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307212 (or 307209 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13824045 is about 3718.0700638907. The cubic root of 13824045 is about 240.0002604164. Note that the first 3 decimals are identical.

Adding to 13824045 its reverse (54042831), we get a palindrome (67866876).

The spelling of 13824045 in words is "thirteen million, eight hundred twenty-four thousand, forty-five".