882216 has 24 divisors (see below), whose sum is σ = 2389530. Its totient is φ = 294048.

The previous prime is 882199. The next prime is 882239. The reversal of 882216 is 612288.

882216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 756900 + 125316 = 870^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 882216.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6055 + ... + 6198.

2⁸⁸²²¹⁶ is an apocalyptic number.

It is an amenable number.

882216 is an abundant number, since it is smaller than the sum of its proper divisors (1507314).

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

882216 is a wasteful number, since it uses less digits than its factorization.

882216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12265 (or 12258 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 882216 is about 939.2635412918. The cubic root of 882216 is about 95.9087674924.

It can be divided in two parts, 88 and 2216, that added together give a square (2304 = 48²).

The spelling of 882216 in words is "eight hundred eighty-two thousand, two hundred sixteen".