128367 has 12 divisors (see below), whose sum is σ = 196560. Its totient is φ = 80448.

The previous prime is 128351. The next prime is 128377. The reversal of 128367 is 763821.

It is not a de Polignac number, because 128367 - 2⁴ = 128351 is a prime.

128367 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 128367.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2¹²⁸³⁶⁷ is an apocalyptic number.

128367 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

128367 is a deficient number, since it is larger than the sum of its proper divisors (68193).

128367 is a wasteful number, since it uses less digits than its factorization.

128367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 859 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 128367 is about 358.2834073747. The cubic root of 128367 is about 50.4449617674. Note that the first 3 decimals are identical.

The spelling of 128367 in words is "one hundred twenty-eight thousand, three hundred sixty-seven".