127863 has 6 divisors (see below), whose sum is σ = 184704. Its totient is φ = 85236.

The previous prime is 127859. The next prime is 127867. The reversal of 127863 is 368721.

It is an interprime number because it is at equal distance from previous prime (127859) and next prime (127867).

It is not a de Polignac number, because 127863 - 2² = 127859 is a prime.

127863 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127867) 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 5 ways as a sum of consecutive naturals, for example, 7095 + ... + 7112.

It is an arithmetic number, because the mean of its divisors is an integer number (30784).

2¹²⁷⁸⁶³ is an apocalyptic number.

127863 is a deficient number, since it is larger than the sum of its proper divisors (56841).

127863 is a wasteful number, since it uses less digits than its factorization.

127863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14213 (or 14210 counting only the distinct ones).

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

The square root of 127863 is about 357.5793618206. The cubic root of 127863 is about 50.3788554539.

It can be divided in two parts, 127 and 863, that added together give a triangular number (990 = T₄₄).

The spelling of 127863 in words is "one hundred twenty-seven thousand, eight hundred sixty-three".