8084 has 12 divisors (see below), whose sum is σ = 14784. Its totient is φ = 3864.

The previous prime is 8081. The next prime is 8087. The reversal of 8084 is 4808.

8084 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (8081) and next prime (8087).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8081) 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, 149 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (1232).

2⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

8084 is a deficient number, since it is larger than the sum of its proper divisors (6700).

8084 is a wasteful number, since it uses less digits than its factorization.

8084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8084 is about 89.9110671720. The cubic root of 8084 is about 20.0697564192.

The spelling of 8084 in words is "eight thousand, eighty-four".