128205 has 48 divisors (see below), whose sum is σ = 284544. Its totient is φ = 51840.

The previous prime is 128203. The next prime is 128213. The reversal of 128205 is 502821.

It is not a de Polignac number, because 128205 - 2¹ = 128203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3447 + ... + 3483.

It is an arithmetic number, because the mean of its divisors is an integer number (5928).

2¹²⁸²⁰⁵ is an apocalyptic number.

128205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128205 is an abundant number, since it is smaller than the sum of its proper divisors (156339).

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

128205 is a wasteful number, since it uses less digits than its factorization.

128205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 128205 is about 358.0572579910. The cubic root of 128205 is about 50.4237322095.

It can be divided in two parts, 128 and 205, that added together give a palindrome (333).

The spelling of 128205 in words is "one hundred twenty-eight thousand, two hundred five".