14001984 has 140 divisors (see below), whose sum is σ = 43212004. Its totient is φ = 4478976.

The previous prime is 14001971. The next prime is 14001989. The reversal of 14001984 is 48910041.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 3504384 = 3240^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001989) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 191772 + ... + 191844.

Almost surely, 2^14001984 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 14001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21606002).

14001984 is an abundant number, since it is smaller than the sum of its proper divisors (29210020).

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

14001984 is an equidigital number, since it uses as much as digits as its factorization.

14001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14001984 is about 3741.9225005336. The cubic root of 14001984 is about 241.0256109327.

The spelling of 14001984 in words is "fourteen million, one thousand, nine hundred eighty-four".