8027 has 4 divisors (see below), whose sum is σ = 8400. Its totient is φ = 7656.

The previous prime is 8017. The next prime is 8039. The reversal of 8027 is 7208.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 8027 - 2⁴ = 8011 is a prime.

It is a Duffinian number.

8027 is a modest number, since divided by 27 gives 8 as remainder.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 7996 and 8014.

It is not an unprimeable number, because it can be changed into a prime (8017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2⁸⁰²⁷ is an apocalyptic number.

8027 is a deficient number, since it is larger than the sum of its proper divisors (373).

8027 is a wasteful number, since it uses less digits than its factorization.

8027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 8027 is about 89.5935265519. The cubic root of 8027 is about 20.0224747349.

The spelling of 8027 in words is "eight thousand, twenty-seven".