825020 has 48 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 275520.

The previous prime is 825017. The next prime is 825029. The reversal of 825020 is 20528.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 825020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9899 + ... + 9981.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

2⁸²⁵⁰²⁰ 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 825020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).

825020 is an abundant number, since it is smaller than the sum of its proper divisors (1207108).

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

825020 is a wasteful number, since it uses less digits than its factorization.

825020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 825020 is about 908.3061158002. The cubic root of 825020 is about 93.7896306521.

Adding to 825020 its reverse (20528), we get a palindrome (845548).

The spelling of 825020 in words is "eight hundred twenty-five thousand, twenty".