127631617 has 2 divisors, whose sum is σ = 127631618. Its totient is φ = 127631616.

The previous prime is 127631593. The next prime is 127631627. The reversal of 127631617 is 716136721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127441521 + 190096 = 11289^2 + 436^2 .

It is a cyclic number.

It is not a de Polignac number, because 127631617 - 2¹¹ = 127629569 is a prime.

It is not a weakly prime, because it can be changed into another prime (127631627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63815808 + 63815809.

It is an arithmetic number, because the mean of its divisors is an integer number (63815809).

Almost surely, 2^127631617 is an apocalyptic number.

It is an amenable number.

127631617 is a deficient number, since it is larger than the sum of its proper divisors (1).

127631617 is an equidigital number, since it uses as much as digits as its factorization.

127631617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 34.

The square root of 127631617 is about 11297.4163860592. The cubic root of 127631617 is about 503.4844830132.

The spelling of 127631617 in words is "one hundred twenty-seven million, six hundred thirty-one thousand, six hundred seventeen".