127712601 has 9 divisors (see below), whose sum is σ = 184522741. Its totient is φ = 85119132.

The previous prime is 127712593. The next prime is 127712617. The reversal of 127712601 is 106217721.

The square root of 127712601 is 11301.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 127712601 - 2³ = 127712593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127712621) 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 8 ways as a sum of consecutive naturals, for example, 32020 + ... + 35786.

Almost surely, 2^127712601 is an apocalyptic number.

127712601 is the 11301-st square number.

127712601 is the 5651-st centered octagonal number.

It is an amenable number.

127712601 is a deficient number, since it is larger than the sum of its proper divisors (56810140).

127712601 is an frugal number, since it uses more digits than its factorization.

127712601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The cubic root of 127712601 is about 503.5909497531.

The spelling of 127712601 in words is "one hundred twenty-seven million, seven hundred twelve thousand, six hundred one".