127884 has 12 divisors (see below), whose sum is σ = 298424. Its totient is φ = 42624.

The previous prime is 127877. The next prime is 127913. The reversal of 127884 is 488721.

Added to its reverse (488721) it gives a triangular number (616605 = T₁₁₁₀).

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 2.

It is an unprimeable number.

127884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5317 + ... + 5340.

2¹²⁷⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

127884 is an abundant number, since it is smaller than the sum of its proper divisors (170540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127884 is a wasteful number, since it uses less digits than its factorization.

127884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664 (or 10662 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 127884 is about 357.6087247258. The cubic root of 127884 is about 50.3816133485.

Adding to 127884 its reverse (488721), we get a triangular number (616605 = T₁₁₁₀).

The spelling of 127884 in words is "one hundred twenty-seven thousand, eight hundred eighty-four".