823284 has 108 divisors (see below), whose sum is σ = 2711072. Its totient is φ = 213840.

The previous prime is 823283. The next prime is 823309. The reversal of 823284 is 482328.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3072) is a multiple of the sum of its prime factors (48).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823283) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74839 + ... + 74849.

2⁸²³²⁸⁴ is an apocalyptic number.

823284 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355536).

823284 is an abundant number, since it is smaller than the sum of its proper divisors (1887788).

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

823284 is a wasteful number, since it uses less digits than its factorization.

823284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 23 counting only the distinct ones).

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

The square root of 823284 is about 907.3499876013. The cubic root of 823284 is about 93.7238006790.

The spelling of 823284 in words is "eight hundred twenty-three thousand, two hundred eighty-four".