205924 has 6 divisors (see below), whose sum is σ = 360374. Its totient is φ = 102960.

The previous prime is 205913. The next prime is 205937. The reversal of 205924 is 429502.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 152100 + 53824 = 390^2 + 232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205895 and 205904.

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 as a sum of consecutive naturals, namely, 25737 + ... + 25744.

2²⁰⁵⁹²⁴ is an apocalyptic number.

It is an amenable number.

205924 is a deficient number, since it is larger than the sum of its proper divisors (154450).

205924 is a wasteful number, since it uses less digits than its factorization.

205924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51485 (or 51483 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 205924 is about 453.7884969895. The cubic root of 205924 is about 59.0521419739.

It can be divided in two parts, 205 and 924, that multiplied together give a triangular number (189420 = T₆₁₅).

The spelling of 205924 in words is "two hundred five thousand, nine hundred twenty-four".