820441 has 2 divisors, whose sum is σ = 820442. Its totient is φ = 820440.

The previous prime is 820429. The next prime is 820459. The reversal of 820441 is 144028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 455625 + 364816 = 675^2 + 604^2 .

It is a cyclic number.

It is not a de Polignac number, because 820441 - 2⁵ = 820409 is a prime.

It is not a weakly prime, because it can be changed into another prime (820411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410220 + 410221.

It is an arithmetic number, because the mean of its divisors is an integer number (410221).

2⁸²⁰⁴⁴¹ is an apocalyptic number.

It is an amenable number.

820441 is a deficient number, since it is larger than the sum of its proper divisors (1).

820441 is an equidigital number, since it uses as much as digits as its factorization.

820441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 820441 is about 905.7819825985. The cubic root of 820441 is about 93.6157925601.

Adding to 820441 its reverse (144028), we get a palindrome (964469).

It can be divided in two parts, 8 and 20441, that added together give a square (20449 = 143²).

The spelling of 820441 in words is "eight hundred twenty thousand, four hundred forty-one".