13846833 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 6289920.

The previous prime is 13846829. The next prime is 13846841. The reversal of 13846833 is 33864831.

It is a happy number.

13846833 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 13846833 - 2² = 13846829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13846813) 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 95 ways as a sum of consecutive naturals, for example, 261235 + ... + 261287.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^13846833 is an apocalyptic number.

13846833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13846833 is an abundant number, since it is smaller than the sum of its proper divisors (14457807).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13846833 is a wasteful number, since it uses less digits than its factorization.

13846833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 116 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 13846833 is about 3721.1332951132. The cubic root of 13846833 is about 240.1320627343.

It can be divided in two parts, 138 and 46833, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 13846833 in words is "thirteen million, eight hundred forty-six thousand, eight hundred thirty-three".