204872 has 8 divisors (see below), whose sum is σ = 384150. Its totient is φ = 102432.

The previous prime is 204871. The next prime is 204887. The reversal of 204872 is 278402.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 98596 = 326^2 + 314^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (204871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12797 + ... + 12812.

2²⁰⁴⁸⁷² is an apocalyptic number.

It is an amenable number.

204872 is a deficient number, since it is larger than the sum of its proper divisors (179278).

204872 is a wasteful number, since it uses less digits than its factorization.

204872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25615 (or 25611 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 204872 is about 452.6278824818. The cubic root of 204872 is about 58.9514107280.

It can be divided in two parts, 2048 and 72, that multiplied together give a square (147456 = 384²).

The spelling of 204872 in words is "two hundred four thousand, eight hundred seventy-two".