882609 has 32 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 449280.

The previous prime is 882599. The next prime is 882617. The reversal of 882609 is 906288.

It is not a de Polignac number, because 882609 - 2⁴ = 882593 is a prime.

882609 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 882609.

It is not an unprimeable number, because it can be changed into a prime (882659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14439 + ... + 14499.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁸⁸²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

882609 is a deficient number, since it is larger than the sum of its proper divisors (617295).

882609 is a wasteful number, since it uses less digits than its factorization.

882609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 882609 is about 939.4727244577. The cubic root of 882609 is about 95.9230068435.

The spelling of 882609 in words is "eight hundred eighty-two thousand, six hundred nine".