825328 has 20 divisors (see below), whose sum is σ = 1827760. Its totient is φ = 353664.

The previous prime is 825301. The next prime is 825329. The reversal of 825328 is 823528.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 825296 and 825305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3573 + ... + 3796.

It is an arithmetic number, because the mean of its divisors is an integer number (91388).

2⁸²⁵³²⁸ is an apocalyptic number.

It is an amenable number.

825328 is an abundant number, since it is smaller than the sum of its proper divisors (1002432).

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

825328 is a wasteful number, since it uses less digits than its factorization.

825328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7378 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 825328 is about 908.4756463439. The cubic root of 825328 is about 93.8013005155.

It can be divided in two parts, 8253 and 28, that added together give a square (8281 = 91²).

The spelling of 825328 in words is "eight hundred twenty-five thousand, three hundred twenty-eight".