205948 has 6 divisors (see below), whose sum is σ = 360416. Its totient is φ = 102972.

The previous prime is 205937. The next prime is 205949. The reversal of 205948 is 849502.

It is a happy number.

205948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25740 + ... + 25747.

2²⁰⁵⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

205948 is a deficient number, since it is larger than the sum of its proper divisors (154468).

205948 is a wasteful number, since it uses less digits than its factorization.

205948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51491 (or 51489 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 205948 is about 453.8149402565. The cubic root of 205948 is about 59.0544360182.

It can be divided in two parts, 20594 and 8, that added together give a palindrome (20602).

The spelling of 205948 in words is "two hundred five thousand, nine hundred forty-eight".