13824475 has 24 divisors (see below), whose sum is σ = 19739808. Its totient is φ = 9408000.

The previous prime is 13824463. The next prime is 13824479. The reversal of 13824475 is 57442831.

13824475 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 13824475 - 2⁵ = 13824443 is a prime.

It is a super-2 number, since 2×13824475² = 382232218051250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13824475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34275 + ... + 34675.

It is an arithmetic number, because the mean of its divisors is an integer number (822492).

Almost surely, 2^13824475 is an apocalyptic number.

13824475 is a deficient number, since it is larger than the sum of its proper divisors (5915333).

13824475 is a wasteful number, since it uses less digits than its factorization.

13824475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 610 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 13824475 is about 3718.1278891399. The cubic root of 13824475 is about 240.0027488111.

The spelling of 13824475 in words is "thirteen million, eight hundred twenty-four thousand, four hundred seventy-five".