825100 has 36 divisors (see below), whose sum is σ = 1847104. Its totient is φ = 319680.

The previous prime is 825073. The next prime is 825101. The reversal of 825100 is 1528.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (825101) by changing a digit.

825100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3589 + ... + 3811.

2⁸²⁵¹⁰⁰ 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 825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923552).

825100 is an abundant number, since it is smaller than the sum of its proper divisors (1022004).

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

825100 is a wasteful number, since it uses less digits than its factorization.

825100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 825100 is about 908.3501527495. The cubic root of 825100 is about 93.7926620647.

Adding to 825100 its reverse (1528), we get a palindrome (826628).

The spelling of 825100 in words is "eight hundred twenty-five thousand, one hundred".