825300 has 108 divisors (see below), whose sum is σ = 2978976. Its totient is φ = 187200.

The previous prime is 825287. The next prime is 825301. The reversal of 825300 is 3528.

Added to its reverse (3528) it gives a triangular number (828828 = T₁₂₈₇).

It is a super-2 number, since 2×825300² = 1362240180000, which contains 22 as substring.

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

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 825300.

It is not an unprimeable number, because it can be changed into a prime (825301) 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 35 ways as a sum of consecutive naturals, for example, 6235 + ... + 6365.

2⁸²⁵³⁰⁰ 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 825300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489488).

825300 is an abundant number, since it is smaller than the sum of its proper divisors (2153676).

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

825300 is a wasteful number, since it uses less digits than its factorization.

825300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

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

The square root of 825300 is about 908.4602357836. The cubic root of 825300 is about 93.8002397389.

Adding to 825300 its reverse (3528), we get a palindrome (828828).

The spelling of 825300 in words is "eight hundred twenty-five thousand, three hundred".