825528 has 64 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 241280.

The previous prime is 825527. The next prime is 825533.

825528 is nontrivially palindromic in base 10.

It is an Ulam number.

Its product of digits (6400) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 825495 and 825504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13963 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

825528 is a Friedman number, since it can be written as (5^5+2)*(8+2^8), using all its digits and the basic arithmetic operations.

2⁸²⁵⁵²⁸ is an apocalyptic number.

825528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166400).

825528 is an abundant number, since it is smaller than the sum of its proper divisors (1507272).

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

825528 is a wasteful number, since it uses less digits than its factorization.

825528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 825528 is about 908.5857141734. The cubic root of 825528 is about 93.8088767943.

It can be divided in two parts, 825 and 528, that multiplied together give a square (435600 = 660²).

The spelling of 825528 in words is "eight hundred twenty-five thousand, five hundred twenty-eight".