128007 has 16 divisors (see below), whose sum is σ = 207360. Its totient is φ = 77400.

The previous prime is 127997. The next prime is 128021. The reversal of 128007 is 700821.

Added to its reverse (700821) it gives a triangular number (828828 = T₁₂₈₇).

It is not a de Polignac number, because 128007 - 2¹¹ = 125959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2¹²⁸⁰⁰⁷ is an apocalyptic number.

128007 is a deficient number, since it is larger than the sum of its proper divisors (79353).

128007 is a wasteful number, since it uses less digits than its factorization.

128007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 128007 is about 357.7806590636. The cubic root of 128007 is about 50.3977606715.

Adding to 128007 its reverse (700821), we get a palindrome (828828).

The spelling of 128007 in words is "one hundred twenty-eight thousand, seven".