13337216 has 32 divisors (see below), whose sum is σ = 27494100. Its totient is φ = 6436864.

The previous prime is 13337213. The next prime is 13337239. The reversal of 13337216 is 61273331.

It can be written as a sum of positive squares in 2 ways, for example, as 13249600 + 87616 = 3640^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13337213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1916 + ... + 5508.

Almost surely, 2^13337216 is an apocalyptic number.

13337216 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 13337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747050).

13337216 is an abundant number, since it is smaller than the sum of its proper divisors (14156884).

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

13337216 is an equidigital number, since it uses as much as digits as its factorization.

13337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3624 counting only the distinct ones).

The product of its digits is 2268, while the sum is 26.

The square root of 13337216 is about 3652.0153340313. The cubic root of 13337216 is about 237.1492351173.

The spelling of 13337216 in words is "thirteen million, three hundred thirty-seven thousand, two hundred sixteen".