882882 has 96 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 211680.

The previous prime is 882881. The next prime is 882883. The reversal of 882882 is 288288.

882882 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 (882881) and next prime (882883).

It is not an unprimeable number, because it can be changed into a prime (882881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67908 + ... + 67920.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁸⁸²⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

882882 is an abundant number, since it is smaller than the sum of its proper divisors (1737918).

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

882882 is a wasteful number, since it uses less digits than its factorization.

882882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 882882 is about 939.6180074903. The cubic root of 882882 is about 95.9328958133.

Multiplying 882882 by its reverse (288288), we get a square (254524286016 = 504504²).

It can be divided in two parts, 882 and 882, that added together give a square (1764 = 42²).

The spelling of 882882 in words is "eight hundred eighty-two thousand, eight hundred eighty-two".