13533832 has 32 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 6202944.

The previous prime is 13533829. The next prime is 13533841. The reversal of 13533832 is 23833531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13533832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18253 + ... + 18979.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^13533832 is an apocalyptic number.

13533832 is the 2327-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13533832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

13533832 is an abundant number, since it is smaller than the sum of its proper divisors (13984568).

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

13533832 is a wasteful number, since it uses less digits than its factorization.

13533832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 921 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 13533832 is about 3678.8356853766. The cubic root of 13533832 is about 238.3088990985.

It can be divided in two parts, 13533 and 832, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13533832 in words is "thirteen million, five hundred thirty-three thousand, eight hundred thirty-two".