205852 has 12 divisors (see below), whose sum is σ = 367416. Its totient is φ = 100880.

The previous prime is 205847. The next prime is 205879. The reversal of 205852 is 258502.

It is a congruent number.

It is an unprimeable 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, 274 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (30618).

2²⁰⁵⁸⁵² is an apocalyptic number.

It is an amenable number.

205852 is a deficient number, since it is larger than the sum of its proper divisors (161564).

205852 is a wasteful number, since it uses less digits than its factorization.

205852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 205852 is about 453.7091579415. The cubic root of 205852 is about 59.0452587713.

Subtracting 205852 from its reverse (258502), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 205852 in words is "two hundred five thousand, eight hundred fifty-two".