127116161 has 2 divisors, whose sum is σ = 127116162. Its totient is φ = 127116160.

The previous prime is 127116103. The next prime is 127116167. The reversal of 127116161 is 161611721.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98386561 + 28729600 = 9919^2 + 5360^2 .

It is an emirp because it is prime and its reverse (161611721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127116161 - 2⁶ = 127116097 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 127116161.

It is not a weakly prime, because it can be changed into another prime (127116167) 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 as a sum of consecutive naturals, namely, 63558080 + 63558081.

It is an arithmetic number, because the mean of its divisors is an integer number (63558081).

Almost surely, 2^127116161 is an apocalyptic number.

It is an amenable number.

127116161 is a deficient number, since it is larger than the sum of its proper divisors (1).

127116161 is an equidigital number, since it uses as much as digits as its factorization.

127116161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 26.

The square root of 127116161 is about 11274.5803026099. The cubic root of 127116161 is about 502.8057738158.

Adding to 127116161 its reverse (161611721), we get a palindrome (288727882).

The spelling of 127116161 in words is "one hundred twenty-seven million, one hundred sixteen thousand, one hundred sixty-one".