882123021 has 64 divisors (see below), whose sum is σ = 1442112000. Its totient is φ = 529638912.

The previous prime is 882123019. The next prime is 882123029. The reversal of 882123021 is 120321288.

It is not a de Polignac number, because 882123021 - 2¹ = 882123019 is a prime.

It is a super-3 number, since 3×882123021³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882123029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4432680 + ... + 4432878.

It is an arithmetic number, because the mean of its divisors is an integer number (22533000).

Almost surely, 2^882123021 is an apocalyptic number.

It is an amenable number.

882123021 is a deficient number, since it is larger than the sum of its proper divisors (559988979).

882123021 is a wasteful number, since it uses less digits than its factorization.

882123021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

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

The square root of 882123021 is about 29700.5559038884. Note that the first 3 decimals coincide. The cubic root of 882123021 is about 959.0539801724.

The spelling of 882123021 in words is "eight hundred eighty-two million, one hundred twenty-three thousand, twenty-one".