825930 has 128 divisors (see below), whose sum is σ = 2764800. Its totient is φ = 171072.

The previous prime is 825919. The next prime is 825947. The reversal of 825930 is 39528.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 825894 and 825903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35899 + ... + 35921.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁸²⁵⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382400).

825930 is an abundant number, since it is smaller than the sum of its proper divisors (1938870).

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

825930 is a wasteful number, since it uses less digits than its factorization.

825930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 825930 is about 908.8069101850. The cubic root of 825930 is about 93.8241014137.

The spelling of 825930 in words is "eight hundred twenty-five thousand, nine hundred thirty".