127284 has 12 divisors (see below), whose sum is σ = 297024. Its totient is φ = 42424.

The previous prime is 127277. The next prime is 127289. The reversal of 127284 is 482721.

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5292 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (24752).

2¹²⁷²⁸⁴ is an apocalyptic number.

It is an amenable number.

127284 is an abundant number, since it is smaller than the sum of its proper divisors (169740).

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

127284 is a wasteful number, since it uses less digits than its factorization.

127284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 10612 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 127284 is about 356.7688327195. The cubic root of 127284 is about 50.3026971244.

Subtracting from 127284 its sum of digits (24), we obtain a triangular number (127260 = T₅₀₄).

The spelling of 127284 in words is "one hundred twenty-seven thousand, two hundred eighty-four".