825822 has 32 divisors (see below), whose sum is σ = 1884960. Its totient is φ = 267840.

The previous prime is 825821. The next prime is 825827. The reversal of 825822 is 228528.

825822 is a `hidden beast` number, since 82 + 582 + 2 = 666.

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

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 825822.

It is not an unprimeable number, because it can be changed into a prime (825821) 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, 2028 + ... + 2400.

It is an arithmetic number, because the mean of its divisors is an integer number (58905).

2⁸²⁵⁸²² is an apocalyptic number.

825822 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 825822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942480).

825822 is an abundant number, since it is smaller than the sum of its proper divisors (1059138).

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

825822 is a wasteful number, since it uses less digits than its factorization.

825822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 825822 is about 908.7474896802. The cubic root of 825822 is about 93.8200117028.

The spelling of 825822 in words is "eight hundred twenty-five thousand, eight hundred twenty-two".