14416 has 20 divisors (see below), whose sum is σ = 30132. Its totient is φ = 6656.

The previous prime is 14411. The next prime is 14419. The reversal of 14416 is 61441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 3600 = 104^2 + 60^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 14416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246 + ... + 298.

2¹⁴⁴¹⁶ is an apocalyptic number.

14416 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 14416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066).

14416 is an abundant number, since it is smaller than the sum of its proper divisors (15716).

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

14416 is a wasteful number, since it uses less digits than its factorization.

14416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 14416 is about 120.0666481584. The cubic root of 14416 is about 24.3378153167.

Subtracting from 14416 its sum of digits (16), we obtain a square (14400 = 120²).

Adding to 14416 its reverse (61441), we get a palindrome (75857).

It can be divided in two parts, 1441 and 6, that multiplied together give a triangular number (8646 = T₁₃₁).

The spelling of 14416 in words is "fourteen thousand, four hundred sixteen".