825282 has 64 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 241920.

The previous prime is 825281. The next prime is 825283. The reversal of 825282 is 282528.

825282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (825281) and next prime (825283).

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

It is not an unprimeable number, because it can be changed into a prime (825281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26607 + ... + 26637.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁸²⁵²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

825282 is an abundant number, since it is smaller than the sum of its proper divisors (1248318).

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

825282 is a wasteful number, since it uses less digits than its factorization.

825282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

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

The square root of 825282 is about 908.4503288568. The cubic root of 825282 is about 93.7995577983.

The spelling of 825282 in words is "eight hundred twenty-five thousand, two hundred eighty-two".