13216 has 24 divisors (see below), whose sum is σ = 30240. Its totient is φ = 5568.

The previous prime is 13187. The next prime is 13217. The reversal of 13216 is 61231.

It is a junction number, because it is equal to n+sod(n) for n = 13196 and 13205.

It is not an unprimeable number, because it can be changed into a prime (13217) by changing a digit.

13216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195 + ... + 253.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹³²¹⁶ is an apocalyptic number.

13216 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 13216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

13216 is an abundant number, since it is smaller than the sum of its proper divisors (17024).

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

13216 is an equidigital number, since it uses as much as digits as its factorization.

13216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 13216 is about 114.9608629056. The cubic root of 13216 is about 23.6428599680.

Subtracting from 13216 its sum of digits (13), we obtain a triangular number (13203 = T₁₆₂).

Adding to 13216 its reverse (61231), we get a palindrome (74447).

It can be divided in two parts, 132 and 16, that multiplied together give a palindrome (2112).

The spelling of 13216 in words is "thirteen thousand, two hundred sixteen".