820041 has 16 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 519680.

The previous prime is 820037. The next prime is 820051. The reversal of 820041 is 140028.

It is a cyclic number.

It is not a de Polignac number, because 820041 - 2² = 820037 is a prime.

It is a Curzon number.

820041 is a lucky number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 820041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7201 + ... + 7313.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2⁸²⁰⁰⁴¹ is an apocalyptic number.

It is an amenable number.

820041 is a deficient number, since it is larger than the sum of its proper divisors (329079).

820041 is a wasteful number, since it uses less digits than its factorization.

820041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

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

The square root of 820041 is about 905.5611519936. The cubic root of 820041 is about 93.6005761890.

Adding to 820041 its reverse (140028), we get a palindrome (960069).

The spelling of 820041 in words is "eight hundred twenty thousand, forty-one".