828765 has 32 divisors (see below), whose sum is σ = 1685760. Its totient is φ = 378432.

The previous prime is 828757. The next prime is 828787. The reversal of 828765 is 567828.

It is not a de Polignac number, because 828765 - 2³ = 828757 is a prime.

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, 507 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (52680).

2⁸²⁸⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

828765 is an abundant number, since it is smaller than the sum of its proper divisors (856995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828765 is a wasteful number, since it uses less digits than its factorization.

828765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

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

The square root of 828765 is about 910.3653112899. The cubic root of 828765 is about 93.9313290515.

The spelling of 828765 in words is "eight hundred twenty-eight thousand, seven hundred sixty-five".