828564 has 24 divisors (see below), whose sum is σ = 2109408. Its totient is φ = 251040.

The previous prime is 828557. The next prime is 828577. The reversal of 828564 is 465828.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

828564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3007 + ... + 3270.

It is an arithmetic number, because the mean of its divisors is an integer number (87892).

2⁸²⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

828564 is an abundant number, since it is smaller than the sum of its proper divisors (1280844).

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

828564 is a wasteful number, since it uses less digits than its factorization.

828564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6293 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 828564 is about 910.2549093523. The cubic root of 828564 is about 93.9237347299.

It can be divided in two parts, 82 and 8564, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 828564 in words is "eight hundred twenty-eight thousand, five hundred sixty-four".