823308 has 48 divisors (see below), whose sum is σ = 2123520. Its totient is φ = 247104.

The previous prime is 823283. The next prime is 823309. The reversal of 823308 is 803328.

It is a super-3 number, since 3×823308³ = 1674203559733302336, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823309) by changing a digit.

823308 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5166 + ... + 5322.

It is an arithmetic number, because the mean of its divisors is an integer number (44240).

2⁸²³³⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061760).

823308 is an abundant number, since it is smaller than the sum of its proper divisors (1300212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823308 is a wasteful number, since it uses less digits than its factorization.

823308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 823308 is about 907.3632128316. The cubic root of 823308 is about 93.7247114014.

The spelling of 823308 in words is "eight hundred twenty-three thousand, three hundred eight".