13743216 has 80 divisors (see below), whose sum is σ = 40845600. Its totient is φ = 4419072.

The previous prime is 13743209. The next prime is 13743221. The reversal of 13743216 is 61234731.

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 13743216.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11980 + ... + 13076.

It is an arithmetic number, because the mean of its divisors is an integer number (510570).

Almost surely, 2^13743216 is an apocalyptic number.

13743216 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 13743216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422800).

13743216 is an abundant number, since it is smaller than the sum of its proper divisors (27102384).

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

13743216 is a wasteful number, since it uses less digits than its factorization.

13743216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13743216 is about 3707.1843763158. The cubic root of 13743216 is about 239.5315863809.

Adding to 13743216 its reverse (61234731), we get a palindrome (74977947).

It can be divided in two parts, 137432 and 16, that multiplied together give a palindrome (2198912).

The spelling of 13743216 in words is "thirteen million, seven hundred forty-three thousand, two hundred sixteen".