127968993 has 6 divisors (see below), whose sum is σ = 184844114. Its totient is φ = 85312656.

The previous prime is 127968983. The next prime is 127969001. The reversal of 127968993 is 399869721.

It can be written as a sum of positive squares in only one way, i.e., 120824064 + 7144929 = 10992^2 + 2673^2 .

It is not a de Polignac number, because 127968993 - 2¹² = 127964897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127968923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7109380 + ... + 7109397.

Almost surely, 2^127968993 is an apocalyptic number.

It is an amenable number.

127968993 is a deficient number, since it is larger than the sum of its proper divisors (56875121).

127968993 is a wasteful number, since it uses less digits than its factorization.

127968993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14218783 (or 14218780 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 127968993 is about 11312.3380872391. The cubic root of 127968993 is about 503.9277225341.

The spelling of 127968993 in words is "one hundred twenty-seven million, nine hundred sixty-eight thousand, nine hundred ninety-three".