127057984 has 21 divisors (see below), whose sum is σ = 252309757. Its totient is φ = 63483904.

The previous prime is 127057927. The next prime is 127058021. The reversal of 127057984 is 489750721.

The square root of 127057984 is 11272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1617984 + 125440000 = 1272^2 + 11200^2 .

It is a super-2 number, since 2×127057984² = 32287462596288512, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127057984.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 89472 + ... + 90880.

Almost surely, 2^127057984 is an apocalyptic number.

127057984 is the 11272-nd square number.

It is an amenable number.

127057984 is a deficient number, since it is larger than the sum of its proper divisors (125251773).

127057984 is an frugal number, since it uses more digits than its factorization.

127057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The cubic root of 127057984 is about 502.7290560722.

The spelling of 127057984 in words is "one hundred twenty-seven million, fifty-seven thousand, nine hundred eighty-four".