825748 has 36 divisors (see below), whose sum is σ = 1838592. Its totient is φ = 320880.

The previous prime is 825739. The next prime is 825749. The reversal of 825748 is 847528.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 7⁷ + 5³ + 4² + 8 .

It is a nialpdrome in base 16.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825749) by changing a digit.

825748 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, 1965 + ... + 2347.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁸²⁵⁷⁴⁸ 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 825748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296).

825748 is an abundant number, since it is smaller than the sum of its proper divisors (1012844).

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

825748 is a wasteful number, since it uses less digits than its factorization.

825748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 825748 is about 908.7067733873. The cubic root of 825748 is about 93.8172092877.

The spelling of 825748 in words is "eight hundred twenty-five thousand, seven hundred forty-eight".