4127 has 2 divisors, whose sum is σ = 4128.
Its totient is φ = 4126.
The previous prime is 4111. The next prime is 4129. The reversal of 4127 is 7214.
It is a happy number.
It is a strong prime.
It is a cyclic number.
It is not a de Polignac number, because 4127 - 24 = 4111 is a prime.
Together with 4129, it forms a pair of twin primes.
It is a Chen prime.
It is an alternating number because its digits alternate between even and odd.
It is a plaindrome in base 12.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4127.
It is not a weakly prime, because it can be changed into another prime (4129) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2063 + 2064.
It is an arithmetic number, because the mean of its divisors is an integer number (2064).
4127 is a deficient number, since it is larger than the sum of its proper divisors (1).
4127 is an equidigital number, since it uses as much as digits as its factorization.
4127 is an evil number, because the sum of its binary digits is even.
The product of its digits is 56, while the sum is 14.
The square root of 4127 is about 64.2417309854.
The cubic root of 4127 is about 16.0402631781.
It can be divided in two parts, 4 and 127, that added together give a palindrome (131).
The spelling of 4127 in words is "four thousand, one hundred twenty-seven", and thus it is an iban number.