127768953 has 32 divisors (see below), whose sum is σ = 190960000. Its totient is φ = 75479040.

The previous prime is 127768951. The next prime is 127768969. The reversal of 127768953 is 359867721.

It is not a de Polignac number, because 127768953 - 2¹ = 127768951 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 (127768951) 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 31 ways as a sum of consecutive naturals, for example, 101673 + ... + 102921.

It is an arithmetic number, because the mean of its divisors is an integer number (5967500).

Almost surely, 2^127768953 is an apocalyptic number.

127768953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127768953 is a deficient number, since it is larger than the sum of its proper divisors (63191047).

127768953 is a wasteful number, since it uses less digits than its factorization.

127768953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369.

The product of its digits is 635040, while the sum is 48.

The square root of 127768953 is about 11303.4929557195. The cubic root of 127768953 is about 503.6650071395.

The spelling of 127768953 in words is "one hundred twenty-seven million, seven hundred sixty-eight thousand, nine hundred fifty-three".