164205 has 24 divisors (see below), whose sum is σ = 294840. Its totient is φ = 84480.

The previous prime is 164201. The next prime is 164209. The reversal of 164205 is 502461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164201) and next prime (164209).

It can be written as a sum of positive squares in 4 ways, for example, as 2601 + 161604 = 51^2 + 402^2 .

It is not a de Polignac number, because 164205 - 2² = 164201 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2¹⁶⁴²⁰⁵ is an apocalyptic number.

164205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164205 is a deficient number, since it is larger than the sum of its proper divisors (130635).

164205 is a wasteful number, since it uses less digits than its factorization.

164205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 164205 is about 405.2221612893. Note that the first 3 decimals coincide. The cubic root of 164205 is about 54.7598343503.

Adding to 164205 its reverse (502461), we get a palindrome (666666).

The spelling of 164205 in words is "one hundred sixty-four thousand, two hundred five".