127 is nontrivially palindromic in base 2 and base 9.
127 is an esthetic number in base 13 and base 15, because in such bases it adjacent digits differ by 1.
It is a strong prime.
It is the 7-th Motzkin number.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-127 is a prime.
It is a Chen prime.
It is an alternating number because its digits alternate between odd and even.
127 is an undulating number in base 9.
127 is a lucky number.
127 is a nontrivial repdigit in base 2.
It is a plaindrome in base 2, base 4, base 8, base 10, base 13 and base 16.
It is a nialpdrome in base 2, base 6, base 12, base 14 and base 15.
It is a zygodrome in base 2.
It is a congruent number.
It is a panconsummate number.
It is a good prime.
127 is a Friedman number, since it can be written as 2^7-1, using all its digits and the basic arithmetic operations.
127 is the 7-th hex number.
127 is an equidigital number, since it uses as much as digits as its factorization.
127 is an odious number, because the sum of its binary digits is odd.
The square root of 127 is about 11.2694276696. The cubic root of 127 is about 5.0265256953.