13533216 has 48 divisors (see below), whose sum is σ = 36122688. Its totient is φ = 4435200.

The previous prime is 13533209. The next prime is 13533229. The reversal of 13533216 is 61233531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4701 + ... + 7011.

It is an arithmetic number, because the mean of its divisors is an integer number (752556).

Almost surely, 2^13533216 is an apocalyptic number.

13533216 is a gapful number since it is divisible by the number (16) 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 13533216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061344).

13533216 is an abundant number, since it is smaller than the sum of its proper divisors (22589472).

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

13533216 is a wasteful number, since it uses less digits than its factorization.

13533216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 13533216 is about 3678.7519622829. The cubic root of 13533216 is about 238.3052834556.

Adding to 13533216 its reverse (61233531), we get a palindrome (74766747).

The spelling of 13533216 in words is "thirteen million, five hundred thirty-three thousand, two hundred sixteen".