825030 has 48 divisors (see below), whose sum is σ = 2190240. Its totient is φ = 215424.

The previous prime is 825029. The next prime is 825047. The reversal of 825030 is 30528.

825030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 824994 and 825012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7959 + ... + 8061.

It is an arithmetic number, because the mean of its divisors is an integer number (45630).

2⁸²⁵⁰³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095120).

825030 is an abundant number, since it is smaller than the sum of its proper divisors (1365210).

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

825030 is a wasteful number, since it uses less digits than its factorization.

825030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 825030 is about 908.3116205356. The cubic root of 825030 is about 93.7900095894.

Adding to 825030 its reverse (30528), we get a palindrome (855558).

The spelling of 825030 in words is "eight hundred twenty-five thousand, thirty".