128583 has 24 divisors (see below), whose sum is σ = 230048. Its totient is φ = 67392.

The previous prime is 128563. The next prime is 128591. The reversal of 128583 is 385821.

It is a happy number.

It is not a de Polignac number, because 128583 - 2⁵ = 128551 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

128583 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128563) 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 23 ways as a sum of consecutive naturals, for example, 741 + ... + 897.

2¹²⁸⁵⁸³ is an apocalyptic number.

128583 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

128583 is a deficient number, since it is larger than the sum of its proper divisors (101465).

128583 is a wasteful number, since it uses less digits than its factorization.

128583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 128583 is about 358.5847180235. The cubic root of 128583 is about 50.4732400786.

The spelling of 128583 in words is "one hundred twenty-eight thousand, five hundred eighty-three".