7127 has 2 divisors, whose sum is σ = 7128. Its totient is φ = 7126.

The previous prime is 7121. The next prime is 7129. The reversal of 7127 is 7217.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 7127 - 2⁸ = 6871 is a prime.

Together with 7129, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3563 + 3564.

It is an arithmetic number, because the mean of its divisors is an integer number (3564).

2⁷¹²⁷ is an apocalyptic number.

7127 is a deficient number, since it is larger than the sum of its proper divisors (1).

7127 is an equidigital number, since it uses as much as digits as its factorization.

7127 is an evil number, because the sum of its binary digits is even.

The product of its digits is 98, while the sum is 17.

The square root of 7127 is about 84.4215612270. The cubic root of 7127 is about 19.2443059563.

Adding to 7127 its product of digits (98), we get a square (7225 = 85²).

The spelling of 7127 in words is "seven thousand, one hundred twenty-seven", and thus it is an iban number.