128307 has 8 divisors (see below), whose sum is σ = 180160. Its totient is φ = 81000.

The previous prime is 128291. The next prime is 128311. The reversal of 128307 is 703821.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 128307 - 2⁴ = 128291 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 128307.

It is not an unprimeable number, because it can be changed into a prime (128327) 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 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (22520).

2¹²⁸³⁰⁷ is an apocalyptic number.

128307 is a deficient number, since it is larger than the sum of its proper divisors (51853).

128307 is a wasteful number, since it uses less digits than its factorization.

128307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 128307 is about 358.1996649915. The cubic root of 128307 is about 50.4371010519.

It can be divided in two parts, 128 and 307, that added together give a triangular number (435 = T₂₉).

The spelling of 128307 in words is "one hundred twenty-eight thousand, three hundred seven".