205848 has 32 divisors (see below), whose sum is σ = 572400. Its totient is φ = 68544.

The previous prime is 205847. The next prime is 205879. The reversal of 205848 is 848502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205848.

It is not an unprimeable number, because it can be changed into a prime (205847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 692.

2²⁰⁵⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

205848 is an abundant number, since it is smaller than the sum of its proper divisors (366552).

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

205848 is a wasteful number, since it uses less digits than its factorization.

205848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 205848 is about 453.7047498098. The cubic root of 205848 is about 59.0448763241.

The spelling of 205848 in words is "two hundred five thousand, eight hundred forty-eight".