205030 has 32 divisors (see below), whose sum is σ = 440640. Its totient is φ = 67200.

The previous prime is 205019. The next prime is 205031. The reversal of 205030 is 30502.

205030 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 204998 and 205016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980 + ... + 2080.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2²⁰⁵⁰³⁰ is an apocalyptic number.

205030 is an abundant number, since it is smaller than the sum of its proper divisors (235610).

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

205030 is a wasteful number, since it uses less digits than its factorization.

205030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 205030 is about 452.8023851527. The cubic root of 205030 is about 58.9665615367.

205030 divided by its sum of digits (10) gives a triangular number (20503 = T₂₀₂).

Adding to 205030 its reverse (30502), we get a palindrome (235532).

It can be divided in two parts, 2050 and 30, that added together give a triangular number (2080 = T₆₄).

The spelling of 205030 in words is "two hundred five thousand, thirty".