825248 has 48 divisors (see below), whose sum is σ = 1809864. Its totient is φ = 368640.

The previous prime is 825247. The next prime is 825259. The reversal of 825248 is 842528.

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 71824 = 868^2 + 268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 825248.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825248.

It is not an unprimeable number, because it can be changed into a prime (825241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20108 + ... + 20148.

2⁸²⁵²⁴⁸ 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 825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904932).

825248 is an abundant number, since it is smaller than the sum of its proper divisors (984616).

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

825248 is a wasteful number, since it uses less digits than its factorization.

825248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 825248 is about 908.4316154780. The cubic root of 825248 is about 93.7982696613.

It can be divided in two parts, 82 and 5248, that multiplied together give a square (430336 = 656²).

The spelling of 825248 in words is "eight hundred twenty-five thousand, two hundred forty-eight".