127663 has 2 divisors, whose sum is σ = 127664. Its totient is φ = 127662.

The previous prime is 127657. The next prime is 127669. The reversal of 127663 is 366721.

It is a balanced prime because it is at equal distance from previous prime (127657) and next prime (127669).

It is an emirp because it is prime and its reverse (366721) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127663 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63831 + 63832.

It is an arithmetic number, because the mean of its divisors is an integer number (63832).

2¹²⁷⁶⁶³ is an apocalyptic number.

127663 is a deficient number, since it is larger than the sum of its proper divisors (1).

127663 is an equidigital number, since it uses as much as digits as its factorization.

127663 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 25.

The square root of 127663 is about 357.2995941783. The cubic root of 127663 is about 50.3525746453.

It can be divided in two parts, 12766 and 3, that added together give a square (12769 = 113²).

The spelling of 127663 in words is "one hundred twenty-seven thousand, six hundred sixty-three".