204948 has 18 divisors (see below), whose sum is σ = 518154. Its totient is φ = 68304.

The previous prime is 204947. The next prime is 204973. The reversal of 204948 is 849402.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 66564 = 372^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204947) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2811 + ... + 2882.

2²⁰⁴⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

204948 is an abundant number, since it is smaller than the sum of its proper divisors (313206).

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

204948 is a wasteful number, since it uses less digits than its factorization.

204948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 204948 is about 452.7118288713. The cubic root of 204948 is about 58.9586994307.

It can be divided in two parts, 20494 and 8, that added together give a palindrome (20502).

The spelling of 204948 in words is "two hundred four thousand, nine hundred forty-eight".