828125 has 14 divisors (see below), whose sum is σ = 1054674. Its totient is φ = 650000.

The previous prime is 828119. The next prime is 828127. The reversal of 828125 is 521828.

It can be written as a sum of positive squares in 7 ways, for example, as 822649 + 5476 = 907^2 + 74^2 .

It is not a de Polignac number, because 828125 - 2⁴ = 828109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 828094 and 828103.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828125.

It is not an unprimeable number, because it can be changed into a prime (828127) 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 13 ways as a sum of consecutive naturals, for example, 15599 + ... + 15651.

2⁸²⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

828125 is a deficient number, since it is larger than the sum of its proper divisors (226549).

828125 is an frugal number, since it uses more digits than its factorization.

828125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 828125 is about 910.0137361601. The cubic root of 828125 is about 93.9071438555.

It can be divided in two parts, 8281 and 25, that multiplied together give a square (207025 = 455²).

The spelling of 828125 in words is "eight hundred twenty-eight thousand, one hundred twenty-five".