823548 has 48 divisors (see below), whose sum is σ = 2225664. Its totient is φ = 234240.

The previous prime is 823547. The next prime is 823553. The reversal of 823548 is 845328.

823548 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 823548.

It is not an unprimeable number, because it can be changed into a prime (823541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061 + ... + 2427.

It is an arithmetic number, because the mean of its divisors is an integer number (46368).

2⁸²³⁵⁴⁸ 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 823548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112832).

823548 is an abundant number, since it is smaller than the sum of its proper divisors (1402116).

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

823548 is a wasteful number, since it uses less digits than its factorization.

823548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 823548 is about 907.4954545341. The cubic root of 823548 is about 93.7338176513.

The spelling of 823548 in words is "eight hundred twenty-three thousand, five hundred forty-eight".