14185164 has 48 divisors (see below), whose sum is σ = 38642688. Its totient is φ = 3965568.

The previous prime is 14185163. The next prime is 14185169. The reversal of 14185164 is 46158141.

14185164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14185163) 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, 2152 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (805056).

Almost surely, 2^14185164 is an apocalyptic number.

14185164 is a gapful number since it is divisible by the number (14) 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 14185164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321344).

14185164 is an abundant number, since it is smaller than the sum of its proper divisors (24457524).

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

14185164 is a wasteful number, since it uses less digits than its factorization.

14185164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3652 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 14185164 is about 3766.3196890333. The cubic root of 14185164 is about 242.0721274885.

The spelling of 14185164 in words is "fourteen million, one hundred eighty-five thousand, one hundred sixty-four".