823248 has 30 divisors (see below), whose sum is σ = 2304354. Its totient is φ = 274368.

The previous prime is 823243. The next prime is 823261. The reversal of 823248 is 842328.

823248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 97344 = 852^2 + 312^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 823248.

It is not an unprimeable number, because it can be changed into a prime (823241) by changing a digit.

823248 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 5 ways as a sum of consecutive naturals, for example, 2715 + ... + 3002.

2⁸²³²⁴⁸ is an apocalyptic number.

It is an amenable number.

823248 is an abundant number, since it is smaller than the sum of its proper divisors (1481106).

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

823248 is a wasteful number, since it uses less digits than its factorization.

823248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5722 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 823248 is about 907.3301493944. The cubic root of 823248 is about 93.7224345624.

The spelling of 823248 in words is "eight hundred twenty-three thousand, two hundred forty-eight".