127788961 has 8 divisors (see below), whose sum is σ = 130069800. Its totient is φ = 125514240.

The previous prime is 127788953. The next prime is 127788977. The reversal of 127788961 is 169887721.

It can be written as a sum of positive squares in 4 ways, for example, as 7667361 + 120121600 = 2769^2 + 10960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127788961 - 2³ = 127788953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127785961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66705 + ... + 68593.

It is an arithmetic number, because the mean of its divisors is an integer number (16258725).

Almost surely, 2^127788961 is an apocalyptic number.

It is an amenable number.

127788961 is a deficient number, since it is larger than the sum of its proper divisors (2280839).

127788961 is a wasteful number, since it uses less digits than its factorization.

127788961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059.

The product of its digits is 338688, while the sum is 49.

The square root of 127788961 is about 11304.3779572341. The cubic root of 127788961 is about 503.6912962685.

The spelling of 127788961 in words is "one hundred twenty-seven million, seven hundred eighty-eight thousand, nine hundred sixty-one".