128084 has 24 divisors (see below), whose sum is σ = 254016. Its totient is φ = 56000.

The previous prime is 128053. The next prime is 128099. The reversal of 128084 is 480821.

It is a super-2 number, since 2×128084² = 32811022112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹²⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

128084 is a deficient number, since it is larger than the sum of its proper divisors (125932).

128084 is a wasteful number, since it uses less digits than its factorization.

128084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 128084 is about 357.8882507152. Note that the first 3 decimals coincide. The cubic root of 128084 is about 50.4078638943.

The spelling of 128084 in words is "one hundred twenty-eight thousand, eighty-four".