825000 has 96 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 200000.

The previous prime is 824983. The next prime is 825001. The reversal of 825000 is 528.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825001) by changing a digit.

825000 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, 74995 + ... + 75005.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁸²⁵⁰⁰⁰ 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 825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

825000 is an abundant number, since it is smaller than the sum of its proper divisors (1987320).

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

825000 is a wasteful number, since it uses less digits than its factorization.

825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 825000 is about 908.2951062292. The cubic root of 825000 is about 93.7888727683.

Adding to 825000 its reverse (528), we get a palindrome (825528).

The spelling of 825000 in words is "eight hundred twenty-five thousand".