128337 has 8 divisors (see below), whose sum is σ = 186720. Its totient is φ = 77760.

The previous prime is 128327. The next prime is 128339. The reversal of 128337 is 733821.

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

It is not a de Polignac number, because 128337 - 2⁴ = 128321 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (128339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1912 + ... + 1977.

It is an arithmetic number, because the mean of its divisors is an integer number (23340).

2¹²⁸³³⁷ is an apocalyptic number.

It is an amenable number.

128337 is a deficient number, since it is larger than the sum of its proper divisors (58383).

128337 is a wasteful number, since it uses less digits than its factorization.

128337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903.

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

The square root of 128337 is about 358.2415386300. The cubic root of 128337 is about 50.4410317159.

It can be divided in two parts, 128 and 337, that added together give a triangular number (465 = T₃₀).

The spelling of 128337 in words is "one hundred twenty-eight thousand, three hundred thirty-seven".