13824081 has 32 divisors (see below), whose sum is σ = 21669120. Its totient is φ = 8692992.

The previous prime is 13824059. The next prime is 13824089. The reversal of 13824081 is 18042831.

It is not a de Polignac number, because 13824081 - 2⁵ = 13824049 is a prime.

It is a super-2 number, since 2×13824081² = 382210430989122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13824089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70075 + ... + 70271.

It is an arithmetic number, because the mean of its divisors is an integer number (677160).

Almost surely, 2^13824081 is an apocalyptic number.

It is an amenable number.

13824081 is a deficient number, since it is larger than the sum of its proper divisors (7845039).

13824081 is a wasteful number, since it uses less digits than its factorization.

13824081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13824081 is about 3718.0749051088. The cubic root of 13824081 is about 240.0004687491. Note that the first 3 decimals are identical.

The spelling of 13824081 in words is "thirteen million, eight hundred twenty-four thousand, eighty-one".