825606 has 16 divisors (see below), whose sum is σ = 1834800. Its totient is φ = 275184.

The previous prime is 825593. The next prime is 825611. The reversal of 825606 is 606528.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 825606.

It is a congruent number.

It is an unprimeable number.

825606 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, 7591 + ... + 7698.

It is an arithmetic number, because the mean of its divisors is an integer number (114675).

2⁸²⁵⁶⁰⁶ is an apocalyptic number.

825606 is an abundant number, since it is smaller than the sum of its proper divisors (1009194).

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

825606 is a wasteful number, since it uses less digits than its factorization.

825606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 825606 is about 908.6286370129. The cubic root of 825606 is about 93.8118312113.

It can be divided in two parts, 825 and 606, that added together give a triangular number (1431 = T₅₃).

The spelling of 825606 in words is "eight hundred twenty-five thousand, six hundred six".