205648 has 10 divisors (see below), whose sum is σ = 398474. Its totient is φ = 102816.

The previous prime is 205633. The next prime is 205651. The reversal of 205648 is 846502.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 51984 = 392^2 + 228^2 .

It is a congruent number.

It is an unprimeable number.

205648 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 as a sum of consecutive naturals, namely, 6411 + ... + 6442.

2²⁰⁵⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

205648 is a deficient number, since it is larger than the sum of its proper divisors (192826).

205648 is a wasteful number, since it uses less digits than its factorization.

205648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12861 (or 12855 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 205648 is about 453.4842885922. The cubic root of 205648 is about 59.0257476436.

The spelling of 205648 in words is "two hundred five thousand, six hundred forty-eight".