825750 has 48 divisors (see below), whose sum is σ = 2238912. Its totient is φ = 219600.

The previous prime is 825749. The next prime is 825763. The reversal of 825750 is 57528.

It is a happy number.

825750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2067 + ... + 2433.

It is an arithmetic number, because the mean of its divisors is an integer number (46644).

2⁸²⁵⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119456).

825750 is an abundant number, since it is smaller than the sum of its proper divisors (1413162).

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

825750 is a wasteful number, since it uses less digits than its factorization.

825750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 825750 is about 908.7078738517. The cubic root of 825750 is about 93.8172850308.

It can be divided in two parts, 82 and 5750, that added together give a cube (5832 = 18³).

The spelling of 825750 in words is "eight hundred twenty-five thousand, seven hundred fifty".