205208 has 16 divisors (see below), whose sum is σ = 389880. Its totient is φ = 101248.

The previous prime is 205201. The next prime is 205211. The reversal of 205208 is 802502.

It is a happy number.

It is a Cunningham number, because it is equal to 453²-1.

It is a super-2 number, since 2×205208² = 84220646528, which contains 22 as substring.

It is a congruent number.

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

205208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 791 + ... + 1017.

2²⁰⁵²⁰⁸ is an apocalyptic number.

It is an amenable number.

205208 is a deficient number, since it is larger than the sum of its proper divisors (184672).

205208 is a wasteful number, since it uses less digits than its factorization.

205208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 205208 is about 452.9988962459. The cubic root of 205208 is about 58.9836208484.

The spelling of 205208 in words is "two hundred five thousand, two hundred eight".