13217328 has 60 divisors (see below), whose sum is σ = 37237200. Its totient is φ = 4376448.

The previous prime is 13217327. The next prime is 13217329. The reversal of 13217328 is 82371231.

It is an interprime number because it is at equal distance from previous prime (13217327) and next prime (13217329).

It is not an unprimeable number, because it can be changed into a prime (13217327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37698 + ... + 38046.

It is an arithmetic number, because the mean of its divisors is an integer number (620620).

Almost surely, 2^13217328 is an apocalyptic number.

13217328 is a gapful number since it is divisible by the number (18) 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 13217328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618600).

13217328 is an abundant number, since it is smaller than the sum of its proper divisors (24019872).

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

13217328 is a wasteful number, since it uses less digits than its factorization.

13217328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13217328 is about 3635.5643303344. The cubic root of 13217328 is about 236.4365185324.

Adding to 13217328 its reverse (82371231), we get a palindrome (95588559).

It can be divided in two parts, 1321 and 7328, that added together give a square (8649 = 93²).

The spelling of 13217328 in words is "thirteen million, two hundred seventeen thousand, three hundred twenty-eight".