820330 has 16 divisors (see below), whose sum is σ = 1687680. Its totient is φ = 281232.

The previous prime is 820321. The next prime is 820331. The reversal of 820330 is 33028.

It is a happy number.

It is a plaindrome in base 12.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (820331) 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, 5790 + ... + 5929.

It is an arithmetic number, because the mean of its divisors is an integer number (105480).

2⁸²⁰³³⁰ is an apocalyptic number.

820330 is an abundant number, since it is smaller than the sum of its proper divisors (867350).

It is a weird number, because it is abundant, but not a pseudoperfect number.

820330 is a wasteful number, since it uses less digits than its factorization.

820330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11733.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 820330 is about 905.7207075031. The cubic root of 820330 is about 93.6115705130.

Adding to 820330 its reverse (33028), we get a palindrome (853358).

The spelling of 820330 in words is "eight hundred twenty thousand, three hundred thirty".