128733 has 16 divisors (see below), whose sum is σ = 193536. Its totient is φ = 75440.

The previous prime is 128717. The next prime is 128747. The reversal of 128733 is 337821.

It is a cyclic number.

It is not a de Polignac number, because 128733 - 2⁴ = 128717 is a prime.

Its product of digits (1008) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1510 + ... + 1592.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2¹²⁸⁷³³ is an apocalyptic number.

It is an amenable number.

128733 is a deficient number, since it is larger than the sum of its proper divisors (64803).

128733 is a wasteful number, since it uses less digits than its factorization.

128733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 1008, while the sum is 24.

The square root of 128733 is about 358.7938126557. The cubic root of 128733 is about 50.4928591674.

It can be divided in two parts, 128 and 733, that added together give a triangular number (861 = T₄₁).

The spelling of 128733 in words is "one hundred twenty-eight thousand, seven hundred thirty-three".