205206 has 16 divisors (see below), whose sum is σ = 428544. Its totient is φ = 65384.

The previous prime is 205201. The next prime is 205211. The reversal of 205206 is 602502.

It is an interprime number because it is at equal distance from previous prime (205201) and next prime (205211).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205201) by changing a digit.

205206 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2²⁰⁵²⁰⁶ is an apocalyptic number.

205206 is the 287-th centered pentagonal number.

205206 is an abundant number, since it is smaller than the sum of its proper divisors (223338).

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

205206 is a wasteful number, since it uses less digits than its factorization.

205206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205206 is about 452.9966887296. The cubic root of 205206 is about 58.9834292255.

Adding to 205206 its reverse (602502), we get a palindrome (807708).

The spelling of 205206 in words is "two hundred five thousand, two hundred six".