164814 has 16 divisors (see below), whose sum is σ = 355152. Its totient is φ = 50688.

The previous prime is 164809. The next prime is 164821. The reversal of 164814 is 418461.

164814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

164814 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (22197).

2¹⁶⁴⁸¹⁴ is an apocalyptic number.

164814 is an abundant number, since it is smaller than the sum of its proper divisors (190338).

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

164814 is a wasteful number, since it uses less digits than its factorization.

164814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131.

The product of its digits is 768, while the sum is 24.

The square root of 164814 is about 405.9729054999. The cubic root of 164814 is about 54.8274481991.

The spelling of 164814 in words is "one hundred sixty-four thousand, eight hundred fourteen".