8021 has 4 divisors (see below), whose sum is σ = 8652. Its totient is φ = 7392.

The previous prime is 8017. The next prime is 8039. The reversal of 8021 is 1208.

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

It can be written as a sum of positive squares in 2 ways, for example, as 625 + 7396 = 25^2 + 86^2 .

It is a cyclic number.

It is not a de Polignac number, because 8021 - 2² = 8017 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 7993 and 8011.

It is a congruent number.

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 in 3 ways as a sum of consecutive naturals, for example, 296 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (2163).

2⁸⁰²¹ is an apocalyptic number.

It is an amenable number.

8021 is a deficient number, since it is larger than the sum of its proper divisors (631).

8021 is a wasteful number, since it uses less digits than its factorization.

8021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630.

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

The square root of 8021 is about 89.5600357302. The cubic root of 8021 is about 20.0174847098.

Adding to 8021 its reverse (1208), we get a palindrome (9229).

It can be divided in two parts, 80 and 21, that added together give a palindrome (101).

The spelling of 8021 in words is "eight thousand, twenty-one".