825192 has 48 divisors (see below), whose sum is σ = 2279940. Its totient is φ = 269568.

The previous prime is 825191. The next prime is 825193. The reversal of 825192 is 291528.

825192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (825191) and next prime (825193).

It can be written as a sum of positive squares in 2 ways, for example, as 820836 + 4356 = 906^2 + 66^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (825191) 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, 5178 + ... + 5334.

2⁸²⁵¹⁹² 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 825192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139970).

825192 is an abundant number, since it is smaller than the sum of its proper divisors (1454748).

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

825192 is a wasteful number, since it uses less digits than its factorization.

825192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 825192 is about 908.4007926020. The cubic root of 825192 is about 93.7961479469.

It can be divided in two parts, 8 and 25192, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 825192 in words is "eight hundred twenty-five thousand, one hundred ninety-two".