127785 has 16 divisors (see below), whose sum is σ = 233856. Its totient is φ = 58368.

The previous prime is 127781. The next prime is 127807. The reversal of 127785 is 587721.

It is a happy number.

It is not a de Polignac number, because 127785 - 2² = 127781 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127781) 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, 504 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

2¹²⁷⁷⁸⁵ is an apocalyptic number.

127785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127785 is a deficient number, since it is larger than the sum of its proper divisors (106071).

127785 is a wasteful number, since it uses less digits than its factorization.

127785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232.

The product of its digits is 3920, while the sum is 30.

The square root of 127785 is about 357.4702784848. The cubic root of 127785 is about 50.3686092006.

The spelling of 127785 in words is "one hundred twenty-seven thousand, seven hundred eighty-five".