825500 has 48 divisors (see below), whose sum is σ = 1956864. Its totient is φ = 302400.

The previous prime is 825491. The next prime is 825509. The reversal of 825500 is 5528.

825500 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (825491) and next prime (825509).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6437 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (40768).

2⁸²⁵⁵⁰⁰ 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 825500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978432).

825500 is an abundant number, since it is smaller than the sum of its proper divisors (1131364).

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

825500 is a wasteful number, since it uses less digits than its factorization.

825500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 825500 is about 908.5703054800. The cubic root of 825500 is about 93.8078161889.

The spelling of 825500 in words is "eight hundred twenty-five thousand, five hundred".