825700 has 36 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 315040.

The previous prime is 825697. The next prime is 825701. The reversal of 825700 is 7528.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (825701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2121 + ... + 2479.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2⁸²⁵⁷⁰⁰ is an apocalyptic number.

825700 is the 575-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

825700 is an abundant number, since it is smaller than the sum of its proper divisors (1049180).

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

825700 is a wasteful number, since it uses less digits than its factorization.

825700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 825700 is about 908.6803618435. The cubic root of 825700 is about 93.8153914154.

The spelling of 825700 in words is "eight hundred twenty-five thousand, seven hundred".