825412 has 24 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 344640.

The previous prime is 825403. The next prime is 825413. The reversal of 825412 is 214528.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (825413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 789 + ... + 1507.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2⁸²⁵⁴¹² is an apocalyptic number.

825412 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

825412 is an abundant number, since it is smaller than the sum of its proper divisors (868028).

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

825412 is a wasteful number, since it uses less digits than its factorization.

825412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 825412 is about 908.5218764565. The cubic root of 825412 is about 93.8044827017.

It can be divided in two parts, 825 and 412, that multiplied together give a triangular number (339900 = T₈₂₄).

The spelling of 825412 in words is "eight hundred twenty-five thousand, four hundred twelve".