820341 has 16 divisors (see below), whose sum is σ = 1269120. Its totient is φ = 522720.

The previous prime is 820333. The next prime is 820343. The reversal of 820341 is 143028.

It is a happy number.

It is not a de Polignac number, because 820341 - 2³ = 820333 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 7.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820343) 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, 40 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (79320).

2⁸²⁰³⁴¹ is an apocalyptic number.

It is an amenable number.

820341 is a deficient number, since it is larger than the sum of its proper divisors (448779).

820341 is a wasteful number, since it uses less digits than its factorization.

820341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 820341 is about 905.7267799949. The cubic root of 820341 is about 93.6119889311.

Adding to 820341 its reverse (143028), we get a palindrome (963369).

The spelling of 820341 in words is "eight hundred twenty thousand, three hundred forty-one".