882 has 18 divisors (see below), whose sum is σ = 2223. Its totient is φ = 252.

The previous prime is 881. The next prime is 883. The reversal of 882 is 288.

882 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (881) and next prime (883).

It can be written as a sum of positive squares in only one way, i.e., 441 + 441 = 21^2 + 21^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=21.

It is a Harshad number since it is a multiple of its sum of digits (18).

882 is an undulating number in base 12.

It is a nialpdrome in base 10 and base 11.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 882.

It is not an unprimeable number, because it can be changed into a prime (881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123 + ... + 129.

2^{882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882

882 is an abundant number, since it is smaller than the sum of its proper divisors (1341).

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

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

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

The sum of its prime factors is 22 (or 12 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 882 is about 29.6984848098. The cubic root of 882 is about 9.5900939483.

Adding to 882 its sum of digits (18), we get a square (900 = 30^{2}).

Multiplying 882 by its sum of digits (18), we get a square (15876 = 126^{2}).

882 divided by its sum of digits (18) gives a square (49 = 7^{2}).

Multiplying 882 by its product of digits (128), we get a square (112896 = 336^{2}).

Multiplying 882 by its reverse (288), we get a square (254016 = 504^{2}).

It can be divided in two parts, 8 and 82, that multiplied together give a palindrome (656).

The spelling of 882 in words is "eight hundred eighty-two", and thus it is an aban number.

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