13853281 has 16 divisors (see below), whose sum is σ = 15551424. Its totient is φ = 12256704.

The previous prime is 13853269. The next prime is 13853293. The reversal of 13853281 is 18235831.

It is the 1520-th star number.

It is an interprime number because it is at equal distance from previous prime (13853269) and next prime (13853293).

It is a cyclic number.

It is not a de Polignac number, because 13853281 - 2¹⁷ = 13722209 is a prime.

It is a super-2 number, since 2×13853281² = 383826788929922, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (5760) is a multiple of the sum of its prime divisors (480).

It is not an unprimeable number, because it can be changed into a prime (13853201) 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 15 ways as a sum of consecutive naturals, for example, 39750 + ... + 40096.

It is an arithmetic number, because the mean of its divisors is an integer number (971964).

Almost surely, 2^13853281 is an apocalyptic number.

It is an amenable number.

13853281 is a deficient number, since it is larger than the sum of its proper divisors (1698143).

13853281 is a wasteful number, since it uses less digits than its factorization.

13853281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its digits is 5760, while the sum is 31.

The square root of 13853281 is about 3721.9995969908. Note that the first 3 decimals coincide. The cubic root of 13853281 is about 240.1693307330.

It can be divided in two parts, 1385328 and 1, that added together give a square (1385329 = 1177²).

The spelling of 13853281 in words is "thirteen million, eight hundred fifty-three thousand, two hundred eighty-one".