825084 has 72 divisors (see below), whose sum is σ = 2354352. Its totient is φ = 241920.

The previous prime is 825073. The next prime is 825101. The reversal of 825084 is 480528.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825084.

It is an unprimeable number.

825084 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, 19167 + ... + 19209.

2⁸²⁵⁰⁸⁴ 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 825084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177176).

825084 is an abundant number, since it is smaller than the sum of its proper divisors (1529268).

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

825084 is a wasteful number, since it uses less digits than its factorization.

825084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 825084 is about 908.3413455304. The cubic root of 825084 is about 93.7920557978.

The spelling of 825084 in words is "eight hundred twenty-five thousand, eighty-four".