63127 has 2 divisors, whose sum is σ = 63128. Its totient is φ = 63126.

The previous prime is 63113. The next prime is 63131. The reversal of 63127 is 72136.

63127 is nontrivially palindromic in base 3.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-63127 is a prime.

63127 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63197) 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, 31563 + 31564.

It is an arithmetic number, because the mean of its divisors is an integer number (31564).

2⁶³¹²⁷ is an apocalyptic number.

63127 is a deficient number, since it is larger than the sum of its proper divisors (1).

63127 is an equidigital number, since it uses as much as digits as its factorization.

63127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 63127 is about 251.2508706453. The cubic root of 63127 is about 39.8172917127.

Subtracting 63127 from its reverse (72136), we obtain a palindrome (9009).

It can be divided in two parts, 63 and 127, that multiplied together give a triangular number (8001 = T₁₂₆).

The spelling of 63127 in words is "sixty-three thousand, one hundred twenty-seven".