13257216 has 160 divisors (see below), whose sum is σ = 45175680. Its totient is φ = 3760128.

The previous prime is 13257203. The next prime is 13257221. The reversal of 13257216 is 61275231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13257216.

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 15 ways as a sum of consecutive naturals, for example, 96700 + ... + 96836.

It is an arithmetic number, because the mean of its divisors is an integer number (282348).

Almost surely, 2^13257216 is an apocalyptic number.

13257216 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 13257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587840).

13257216 is an abundant number, since it is smaller than the sum of its proper divisors (31918464).

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

13257216 is an equidigital number, since it uses as much as digits as its factorization.

13257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 13257216 is about 3641.0460035545. The cubic root of 13257216 is about 236.6741235059.

The spelling of 13257216 in words is "thirteen million, two hundred fifty-seven thousand, two hundred sixteen".