8082 has 12 divisors (see below), whose sum is σ = 17550. Its totient is φ = 2688.

The previous prime is 8081. The next prime is 8087. The reversal of 8082 is 2808.

It can be written as a sum of positive squares in only one way, i.e., 6561 + 1521 = 81^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 449 = 8082 / (8 + 0 + 8 + 2).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8082.

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 5 ways as a sum of consecutive naturals, for example, 207 + ... + 242.

2⁸⁰⁸² is an apocalyptic number.

8082 is an abundant number, since it is smaller than the sum of its proper divisors (9468).

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

8082 is a wasteful number, since it uses less digits than its factorization.

8082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8082 is about 89.8999443826. The cubic root of 8082 is about 20.0681011816.

Adding to 8082 its sum of digits (18), we get a square (8100 = 90²).

The spelling of 8082 in words is "eight thousand, eighty-two".