825944 has 40 divisors (see below), whose sum is σ = 1848660. Its totient is φ = 345744.

The previous prime is 825919. The next prime is 825947. The reversal of 825944 is 449528.

825944 is nontrivially palindromic in base 6.

It is a super-2 number, since 2×825944² = 1364366982272, which contains 22 as substring.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 825944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825947) by changing a digit.

825944 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 9 ways as a sum of consecutive naturals, for example, 19187 + ... + 19229.

2⁸²⁵⁹⁴⁴ 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 825944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924330).

825944 is an abundant number, since it is smaller than the sum of its proper divisors (1022716).

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

825944 is an equidigital number, since it uses as much as digits as its factorization.

825944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 825944 is about 908.8146125586. The cubic root of 825944 is about 93.8246315353.

It can be divided in two parts, 8 and 25944, that added together give a palindrome (25952).

The spelling of 825944 in words is "eight hundred twenty-five thousand, nine hundred forty-four".