164184 has 16 divisors (see below), whose sum is σ = 410520. Its totient is φ = 54720.

The previous prime is 164183. The next prime is 164191. The reversal of 164184 is 481461.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 6841 = 164184 / (1 + 6 + 4 + 1 + 8 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164184.

It is not an unprimeable number, because it can be changed into a prime (164183) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3397 + ... + 3444.

2¹⁶⁴¹⁸⁴ is an apocalyptic number.

It is an amenable number.

164184 is an abundant number, since it is smaller than the sum of its proper divisors (246336).

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

164184 is a wasteful number, since it uses less digits than its factorization.

164184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6846 counting only the distinct ones).

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

The square root of 164184 is about 405.1962487487. The cubic root of 164184 is about 54.7574998587.

The spelling of 164184 in words is "one hundred sixty-four thousand, one hundred eighty-four".