825205 has 4 divisors (see below), whose sum is σ = 990252. Its totient is φ = 660160.

The previous prime is 825203. The next prime is 825229. The reversal of 825205 is 502528.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 531441 + 293764 = 729^2 + 542^2 .

It is not a de Polignac number, because 825205 - 2¹ = 825203 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82516 + ... + 82525.

It is an arithmetic number, because the mean of its divisors is an integer number (247563).

2⁸²⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

825205 is a deficient number, since it is larger than the sum of its proper divisors (165047).

825205 is a wasteful number, since it uses less digits than its factorization.

825205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165046.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 825205 is about 908.4079480057. The cubic root of 825205 is about 93.7966404963.

The spelling of 825205 in words is "eight hundred twenty-five thousand, two hundred five".