8012 has 6 divisors (see below), whose sum is σ = 14028. Its totient is φ = 4004.

The previous prime is 8011. The next prime is 8017. The reversal of 8012 is 2108.

8012 is a modest number, since divided by 12 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 = 7984 and 8002.

It is not an unprimeable number, because it can be changed into a prime (8011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 998 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (2338).

2⁸⁰¹² is an apocalyptic number.

It is an amenable number.

8012 is a deficient number, since it is larger than the sum of its proper divisors (6016).

8012 is a wasteful number, since it uses less digits than its factorization.

8012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8012 is about 89.5097760024. The cubic root of 8012 is about 20.0099950042.

Subtracting from 8012 its sum of digits (11), we obtain a triangular number (8001 = T₁₂₆).

The spelling of 8012 in words is "eight thousand, twelve".