821323 has 4 divisors (see below), whose sum is σ = 832648. Its totient is φ = 810000.

The previous prime is 821311. The next prime is 821329. The reversal of 821323 is 323128.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 821323 - 2⁵ = 821291 is a prime.

It is a Duffinian number.

821323 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 821323.

It is not an unprimeable number, because it can be changed into a prime (821329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5553 + ... + 5698.

It is an arithmetic number, because the mean of its divisors is an integer number (208162).

2⁸²¹³²³ is an apocalyptic number.

821323 is a deficient number, since it is larger than the sum of its proper divisors (11325).

821323 is a wasteful number, since it uses less digits than its factorization.

821323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324.

The product of its digits is 288, while the sum is 19.

The square root of 821323 is about 906.2687239445. The cubic root of 821323 is about 93.6493271911.

The spelling of 821323 in words is "eight hundred twenty-one thousand, three hundred twenty-three".