204920 has 32 divisors (see below), whose sum is σ = 475200. Its totient is φ = 79488.

The previous prime is 204917. The next prime is 204923. The reversal of 204920 is 29402.

204920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204917) and next prime (204923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204923) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 1826 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2²⁰⁴⁹²⁰ is an apocalyptic number.

204920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600).

204920 is an abundant number, since it is smaller than the sum of its proper divisors (270280).

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

204920 is a wasteful number, since it uses less digits than its factorization.

204920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 204920 is about 452.6809030653. The cubic root of 204920 is about 58.9560143289.

The spelling of 204920 in words is "two hundred four thousand, nine hundred twenty".