205164 has 36 divisors (see below), whose sum is σ = 535080. Its totient is φ = 66240.

The previous prime is 205157. The next prime is 205171. The reversal of 205164 is 461502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205157) and next prime (205171).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1407 + ... + 1545.

2²⁰⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267540).

205164 is an abundant number, since it is smaller than the sum of its proper divisors (329916).

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

205164 is a wasteful number, since it uses less digits than its factorization.

205164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

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

The square root of 205164 is about 452.9503284026. The cubic root of 205164 is about 58.9794048580.

Adding to 205164 its reverse (461502), we get a palindrome (666666).

It can be divided in two parts, 20 and 5164, that added together give a square (5184 = 72²).

The spelling of 205164 in words is "two hundred five thousand, one hundred sixty-four".