14307216 has 160 divisors (see below), whose sum is σ = 47616000. Its totient is φ = 3669120.

The previous prime is 14307211. The next prime is 14307221. The reversal of 14307216 is 61270341.

14307216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14307211) and next prime (14307221).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14307211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181065 + ... + 181143.

It is an arithmetic number, because the mean of its divisors is an integer number (297600).

Almost surely, 2^14307216 is an apocalyptic number.

14307216 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 14307216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808000).

14307216 is an abundant number, since it is smaller than the sum of its proper divisors (33308784).

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

14307216 is a wasteful number, since it uses less digits than its factorization.

14307216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 14307216 is about 3782.4880700407. The cubic root of 14307216 is about 242.7644247812.

Adding to 14307216 its reverse (61270341), we get a palindrome (75577557).

It can be divided in two parts, 1430 and 7216, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 14307216 in words is "fourteen million, three hundred seven thousand, two hundred sixteen".