13824027 has 54 divisors (see below), whose sum is σ = 24681228. Its totient is φ = 7715736.

The previous prime is 13824023. The next prime is 13824049. The reversal of 13824027 is 72042831.

13824027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13824027 - 2² = 13824023 is a prime.

It is a super-2 number, since 2×13824027² = 382207444993458, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13824023) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 321468 + ... + 321510.

Almost surely, 2^13824027 is an apocalyptic number.

13824027 is a deficient number, since it is larger than the sum of its proper divisors (10857201).

13824027 is an frugal number, since it uses more digits than its factorization.

13824027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13824027 is about 3718.0676432792. The cubic root of 13824027 is about 240.0001562499. Note that the first 3 decimals are identical.

Subtracting from 13824027 its sum of digits (27), we obtain a cube (13824000 = 240³).

Adding to 13824027 its reverse (72042831), we get a palindrome (85866858).

The spelling of 13824027 in words is "thirteen million, eight hundred twenty-four thousand, twenty-seven".