825588 has 72 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 241920.

The previous prime is 825577. The next prime is 825593. The reversal of 825588 is 885528.

825588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

825588 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 23 ways as a sum of consecutive naturals, for example, 11593 + ... + 11663.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁸²⁵⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

825588 is an abundant number, since it is smaller than the sum of its proper divisors (1533132).

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

825588 is a wasteful number, since it uses less digits than its factorization.

825588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 825588 is about 908.6187319223. The cubic root of 825588 is about 93.8111494393.

The spelling of 825588 in words is "eight hundred twenty-five thousand, five hundred eighty-eight".