13853364 has 48 divisors (see below), whose sum is σ = 37406208. Its totient is φ = 3908448.

The previous prime is 13853363. The next prime is 13853369. The reversal of 13853364 is 46335831.

13853364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13853363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5979 + ... + 7965.

It is an arithmetic number, because the mean of its divisors is an integer number (779296).

Almost surely, 2^13853364 is an apocalyptic number.

13853364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13853364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18703104).

13853364 is an abundant number, since it is smaller than the sum of its proper divisors (23552844).

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

13853364 is a wasteful number, since it uses less digits than its factorization.

13853364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2082 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 13853364 is about 3722.0107468947. The cubic root of 13853364 is about 240.1698103790.

The spelling of 13853364 in words is "thirteen million, eight hundred fifty-three thousand, three hundred sixty-four".