823125 has 20 divisors (see below), whose sum is σ = 1374560. Its totient is φ = 438000.

The previous prime is 823117. The next prime is 823127. The reversal of 823125 is 521328.

It is not a de Polignac number, because 823125 - 2³ = 823117 is a prime.

It is a d-powerful number, because it can be written as 8⁶ + 2¹⁴ + 1 + 3⁹ + 2¹⁹ + 5⁴ .

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823127) 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 19 ways as a sum of consecutive naturals, for example, 1656 + ... + 2094.

It is an arithmetic number, because the mean of its divisors is an integer number (68728).

2⁸²³¹²⁵ is an apocalyptic number.

It is an amenable number.

823125 is a deficient number, since it is larger than the sum of its proper divisors (551435).

823125 is an equidigital number, since it uses as much as digits as its factorization.

823125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 823125 is about 907.2623655812. The cubic root of 823125 is about 93.7177666965.

It can be divided in two parts, 8231 and 25, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 823125 in words is "eight hundred twenty-three thousand, one hundred twenty-five".