164223 has 12 divisors (see below), whose sum is σ = 241488. Its totient is φ = 107520.

The previous prime is 164209. The next prime is 164231. The reversal of 164223 is 322461.

It is a happy number.

164223 is a `hidden beast` number, since 1 + 642 + 23 = 666.

It is not a de Polignac number, because 164223 - 2⁵ = 164191 is a prime.

164223 is a lucky number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 164196 and 164205.

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 164223.

It is not an unprimeable number, because it can be changed into a prime (164233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (20124).

2¹⁶⁴²²³ is an apocalyptic number.

164223 is a deficient number, since it is larger than the sum of its proper divisors (77265).

164223 is a wasteful number, since it uses less digits than its factorization.

164223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 331 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 164223 is about 405.2443707197. The cubic root of 164223 is about 54.7618351846.

Adding to 164223 its reverse (322461), we get a palindrome (486684).

The spelling of 164223 in words is "one hundred sixty-four thousand, two hundred twenty-three".