127985 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 85440.

The previous prime is 127979. The next prime is 127997. The reversal of 127985 is 589721.

127985 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 127985 - 2⁶ = 127921 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626 + ... + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹²⁷⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

127985 is a deficient number, since it is larger than the sum of its proper divisors (53455).

127985 is a wasteful number, since it uses less digits than its factorization.

127985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its digits is 5040, while the sum is 32.

The square root of 127985 is about 357.7499126485. The cubic root of 127985 is about 50.3948732922.

It can be divided in two parts, 12 and 7985, that added together give a palindrome (7997).

The spelling of 127985 in words is "one hundred twenty-seven thousand, nine hundred eighty-five".