822288 has 40 divisors (see below), whose sum is σ = 2186368. Its totient is φ = 266112.

The previous prime is 822277. The next prime is 822293. The reversal of 822288 is 882228.

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

It is an Ulam number.

It is an unprimeable number.

822288 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 7 ways as a sum of consecutive naturals, for example, 1545 + ... + 2007.

2⁸²²²⁸⁸ 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 822288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093184).

822288 is an abundant number, since it is smaller than the sum of its proper divisors (1364080).

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

822288 is a wasteful number, since it uses less digits than its factorization.

822288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 822288 is about 906.8009704450. The cubic root of 822288 is about 93.6859900835.

The spelling of 822288 in words is "eight hundred twenty-two thousand, two hundred eighty-eight".