14082144 has 36 divisors (see below), whose sum is σ = 37062396. Its totient is φ = 4681792.

The previous prime is 14082143. The next prime is 14082149. The reversal of 14082144 is 44128041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14082143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36577 + ... + 36959.

It is an arithmetic number, because the mean of its divisors is an integer number (1029511).

Almost surely, 2^14082144 is an apocalyptic number.

It is an amenable number.

14082144 is an abundant number, since it is smaller than the sum of its proper divisors (22980252).

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

14082144 is an frugal number, since it uses more digits than its factorization.

14082144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 14082144 is about 3752.6182859438. The cubic root of 14082144 is about 241.4846854050.

Multiplying 14082144 by its sum of digits (24), we get a square (337971456 = 18384²).

14082144 divided by its sum of digits (24) gives a square (586756 = 766²).

The spelling of 14082144 in words is "fourteen million, eighty-two thousand, one hundred forty-four".