7986 has 16 divisors (see below), whose sum is σ = 17568. Its totient is φ = 2420.

The previous prime is 7963. The next prime is 7993. The reversal of 7986 is 6897.

It is a happy number.

Its product of digits (3024) is a multiple of the sum of its prime divisors (16).

It is a Curzon number.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (1098).

2⁷⁹⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784).

7986 is an abundant number, since it is smaller than the sum of its proper divisors (9582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7986 is a wasteful number, since it uses less digits than its factorization.

7986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 16 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 7986 is about 89.3644224510. The cubic root of 7986 is about 19.9883265212.

Subtracting from 7986 its reverse (6897), we obtain a square (1089 = 33²).

The spelling of 7986 in words is "seven thousand, nine hundred eighty-six".