205172 has 12 divisors (see below), whose sum is σ = 391776. Its totient is φ = 93240.

The previous prime is 205171. The next prime is 205187. The reversal of 205172 is 271502.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 205172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205171) 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, 2288 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (32648).

2²⁰⁵¹⁷² is an apocalyptic number.

205172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205172 is a deficient number, since it is larger than the sum of its proper divisors (186604).

205172 is a wasteful number, since it uses less digits than its factorization.

205172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 205172 is about 452.9591593069. The cubic root of 205172 is about 58.9801714466.

Adding to 205172 its reverse (271502), we get a palindrome (476674).

The spelling of 205172 in words is "two hundred five thousand, one hundred seventy-two".