825400 has 24 divisors (see below), whose sum is σ = 1919520. Its totient is φ = 330080.

The previous prime is 825397. The next prime is 825403. The reversal of 825400 is 4528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (825397) and next prime (825403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1864 + ... + 2263.

It is an arithmetic number, because the mean of its divisors is an integer number (79980).

2⁸²⁵⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

825400 is an abundant number, since it is smaller than the sum of its proper divisors (1094120).

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

825400 is a wasteful number, since it uses less digits than its factorization.

825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 825400 is about 908.5152722987. The cubic root of 825400 is about 93.8040281169.

Adding to 825400 its reverse (4528), we get a palindrome (829928).

It can be divided in two parts, 825 and 400, that added together give a triangular number (1225 = T₄₉).

The spelling of 825400 in words is "eight hundred twenty-five thousand, four hundred".