14105984 has 32 divisors (see below), whose sum is σ = 28296840. Its totient is φ = 7004160.

The previous prime is 14105957. The next prime is 14106011. The reversal of 14105984 is 48950141.

14105984 is digitally balanced in base 2, because in such base 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 (14105957) and next prime (14106011).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14105984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24419 + ... + 24989.

Almost surely, 2^14105984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148420).

14105984 is an abundant number, since it is smaller than the sum of its proper divisors (14190856).

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

14105984 is an equidigital number, since it uses as much as digits as its factorization.

14105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 14105984 is about 3755.7933915486. The cubic root of 14105984 is about 241.6208803204.

Adding to 14105984 its sum of digits (32), we get a triangular number (14106016 = T₅₃₁₁).

The spelling of 14105984 in words is "fourteen million, one hundred five thousand, nine hundred eighty-four".