13824533 has 16 divisors (see below), whose sum is σ = 15102720. Its totient is φ = 12612096.

The previous prime is 13824529. The next prime is 13824583. The reversal of 13824533 is 33542831.

13824533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13824533 - 2² = 13824529 is a prime.

It is a super-2 number, since 2×13824533² = 382235425336178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13824496 and 13824505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100841 + ... + 100977.

It is an arithmetic number, because the mean of its divisors is an integer number (943920).

Almost surely, 2^13824533 is an apocalyptic number.

13824533 is the 2147-th octagonal number.

It is an amenable number.

13824533 is a deficient number, since it is larger than the sum of its proper divisors (1278187).

13824533 is a wasteful number, since it uses less digits than its factorization.

13824533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316.

The product of its digits is 8640, while the sum is 29.

The square root of 13824533 is about 3718.1356887559. The cubic root of 13824533 is about 240.0030844511.

The spelling of 13824533 in words is "thirteen million, eight hundred twenty-four thousand, five hundred thirty-three".