820323 has 24 divisors (see below), whose sum is σ = 1404000. Its totient is φ = 451584.

The previous prime is 820321. The next prime is 820331. The reversal of 820323 is 323028.

It is not a de Polignac number, because 820323 - 2¹ = 820321 is a prime.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 820296 and 820305.

It is not an unprimeable number, because it can be changed into a prime (820321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

2⁸²⁰³²³ is an apocalyptic number.

820323 is a deficient number, since it is larger than the sum of its proper divisors (583677).

820323 is a wasteful number, since it uses less digits than its factorization.

820323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 820323 is about 905.7168431690. The cubic root of 820323 is about 93.6113042451.

The spelling of 820323 in words is "eight hundred twenty thousand, three hundred twenty-three".