820125 has 36 divisors (see below), whose sum is σ = 1535196. Its totient is φ = 437400.

The previous prime is 820117. The next prime is 820129. The reversal of 820125 is 521028.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

820125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 793881 = 162^2 + 891^2 .

It is not a de Polignac number, because 820125 - 2³ = 820117 is a prime.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 820098 and 820107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164023 + ... + 164027.

820125 is a Friedman number, since it can be written as 5*(810/2)^2, using all its digits and the basic arithmetic operations.

2⁸²⁰¹²⁵ is an apocalyptic number.

It is an amenable number.

820125 is a deficient number, since it is larger than the sum of its proper divisors (715071).

820125 is an frugal number, since it uses more digits than its factorization.

820125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 820125 is about 905.6075308874. The cubic root of 820125 is about 93.6037720373.

The spelling of 820125 in words is "eight hundred twenty thousand, one hundred twenty-five".