8127 has 16 divisors (see below), whose sum is σ = 14080. Its totient is φ = 4536.

The previous prime is 8123. The next prime is 8147. The reversal of 8127 is 7218.

8127 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 8127 - 2² = 8123 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

8127 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168 + ... + 210.

It is an arithmetic number, because the mean of its divisors is an integer number (880).

2⁸¹²⁷ is an apocalyptic number.

8127 is a deficient number, since it is larger than the sum of its proper divisors (5953).

8127 is a wasteful number, since it uses less digits than its factorization.

8127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 8127 is about 90.1498752079. The cubic root of 8127 is about 20.1052781861.

Subtracting from 8127 its reverse (7218), we obtain a palindrome (909).

It can be divided in two parts, 81 and 27, that multiplied together give a 7-th power (2187 = 3⁷).

The spelling of 8127 in words is "eight thousand, one hundred twenty-seven".