127228 has 12 divisors (see below), whose sum is σ = 235872. Its totient is φ = 59840.

The previous prime is 127219. The next prime is 127241. The reversal of 127228 is 822721.

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 127199 and 127208.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 868 + ... + 1003.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2¹²⁷²²⁸ is an apocalyptic number.

It is an amenable number.

127228 is a deficient number, since it is larger than the sum of its proper divisors (108644).

127228 is a wasteful number, since it uses less digits than its factorization.

127228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1890 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 127228 is about 356.6903418934. The cubic root of 127228 is about 50.2953189667.

Adding to 127228 its reverse (822721), we get a palindrome (949949).

It can be divided in two parts, 12 and 7228, that multiplied together give a triangular number (86736 = T₄₁₆).

The spelling of 127228 in words is "one hundred twenty-seven thousand, two hundred twenty-eight".