127827 has 12 divisors (see below), whose sum is σ = 211120. Its totient is φ = 73008.

The previous prime is 127819. The next prime is 127837. The reversal of 127827 is 728721.

It is not a de Polignac number, because 127827 - 2³ = 127819 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 127827.

It is not an unprimeable number, because it can be changed into a prime (127807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952 + ... + 1077.

2¹²⁷⁸²⁷ is an apocalyptic number.

127827 is a deficient number, since it is larger than the sum of its proper divisors (83293).

127827 is a wasteful number, since it uses less digits than its factorization.

127827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2039 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 127827 is about 357.5290198012. The cubic root of 127827 is about 50.3741269319.

The spelling of 127827 in words is "one hundred twenty-seven thousand, eight hundred twenty-seven".