882214821 has 40 divisors (see below), whose sum is σ = 1393048800. Its totient is φ = 554856480.

The previous prime is 882214819. The next prime is 882214873. The reversal of 882214821 is 128412288.

882214821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 882214821 - 2¹ = 882214819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882214811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 412926 + ... + 415056.

It is an arithmetic number, because the mean of its divisors is an integer number (34826220).

Almost surely, 2^882214821 is an apocalyptic number.

882214821 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

882214821 is a deficient number, since it is larger than the sum of its proper divisors (510833979).

882214821 is a wasteful number, since it uses less digits than its factorization.

882214821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2422 counting only the distinct ones).

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

The square root of 882214821 is about 29702.1012893027. The cubic root of 882214821 is about 959.0872476794.

The spelling of 882214821 in words is "eight hundred eighty-two million, two hundred fourteen thousand, eight hundred twenty-one".