13984116 has 48 divisors (see below), whose sum is σ = 34254528. Its totient is φ = 4435200.

The previous prime is 13984111. The next prime is 13984123. The reversal of 13984116 is 61148931.

13984116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13984116 is a nontrivial binomial coefficient, being equal to C(5289, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13984111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20826 + ... + 21486.

It is an arithmetic number, because the mean of its divisors is an integer number (713636).

Almost surely, 2^13984116 is an apocalyptic number.

13984116 is the 5288-th triangular number.

It is an amenable number.

13984116 is an abundant number, since it is smaller than the sum of its proper divisors (20270412).

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

13984116 is a wasteful number, since it uses less digits than its factorization.

13984116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 13984116 is about 3739.5341955917. The cubic root of 13984116 is about 240.9230426389.

It can be divided in two parts, 139 and 84116, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 13984116 in words is "thirteen million, nine hundred eighty-four thousand, one hundred sixteen".