82041 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 49280.

The previous prime is 82039. The next prime is 82051. The reversal of 82041 is 14028.

It is a cyclic number.

It is not a de Polignac number, because 82041 - 2¹ = 82039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981 + ... + 2021.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸²⁰⁴¹ is an apocalyptic number.

It is an amenable number.

82041 is a deficient number, since it is larger than the sum of its proper divisors (38919).

82041 is a wasteful number, since it uses less digits than its factorization.

82041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82041 is about 286.4280014244. The cubic root of 82041 is about 43.4520544537.

Adding to 82041 its reverse (14028), we get a palindrome (96069).

It can be divided in two parts, 820 and 41, that added together give a triangular number (861 = T₄₁).

The spelling of 82041 in words is "eighty-two thousand, forty-one".