8041 has 8 divisors (see below), whose sum is σ = 9504. Its totient is φ = 6720.

The previous prime is 8039. The next prime is 8053. The reversal of 8041 is 1408.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8041 - 2¹ = 8039 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 166 + ... + 208.

It is an arithmetic number, because the mean of its divisors is an integer number (1188).

2⁸⁰⁴¹ is an apocalyptic number.

It is an amenable number.

8041 is a deficient number, since it is larger than the sum of its proper divisors (1463).

8041 is a wasteful number, since it uses less digits than its factorization.

8041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8041 is about 89.6716231592. The cubic root of 8041 is about 20.0341084642.

Adding to 8041 its reverse (1408), we get a palindrome (9449).

It can be divided in two parts, 80 and 41, that added together give a palindrome (121).

The spelling of 8041 in words is "eight thousand, forty-one".