164214 has 16 divisors (see below), whose sum is σ = 365040. Its totient is φ = 54720.

The previous prime is 164209. The next prime is 164231. The reversal of 164214 is 412461.

164214 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 164214.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1467 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2¹⁶⁴²¹⁴ is an apocalyptic number.

164214 is an abundant number, since it is smaller than the sum of its proper divisors (200826).

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

164214 is a wasteful number, since it uses less digits than its factorization.

164214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3046 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 164214 is about 405.2332661567. The cubic root of 164214 is about 54.7608347857.

Adding to 164214 its reverse (412461), we get a palindrome (576675).

It can be divided in two parts, 164 and 214, that added together give a triangular number (378 = T₂₇).

The spelling of 164214 in words is "one hundred sixty-four thousand, two hundred fourteen".