882009 has 10 divisors (see below), whose sum is σ = 1317690. Its totient is φ = 587952.

The previous prime is 881987. The next prime is 882017. The reversal of 882009 is 900288.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 363609 = 720^2 + 603^2 .

It is not a de Polignac number, because 882009 - 2¹¹ = 879961 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (882019) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5364 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (131769).

2⁸⁸²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

882009 is a deficient number, since it is larger than the sum of its proper divisors (435681).

882009 is a wasteful number, since it uses less digits than its factorization.

882009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 882009 is about 939.1533421119. The cubic root of 882009 is about 95.9012656758.

It can be divided in two parts, 88200 and 9, that added together give a square (88209 = 297²).

The spelling of 882009 in words is "eight hundred eighty-two thousand, nine".