882765 has 32 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 433728.

The previous prime is 882751. The next prime is 882773. The reversal of 882765 is 567288.

It is not a de Polignac number, because 882765 - 2⁵ = 882733 is a prime.

882765 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1504 + ... + 2006.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁸⁸²⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

882765 is a deficient number, since it is larger than the sum of its proper divisors (810675).

882765 is a wasteful number, since it uses less digits than its factorization.

882765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 882765 is about 939.5557460843. Note that the first 3 decimals coincide. The cubic root of 882765 is about 95.9286579330.

The spelling of 882765 in words is "eight hundred eighty-two thousand, seven hundred sixty-five".