824085 has 12 divisors (see below), whose sum is σ = 1428492. Its totient is φ = 439488.

The previous prime is 824081. The next prime is 824099. The reversal of 824085 is 580428.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 576081 = 498^2 + 759^2 .

It is not a de Polignac number, because 824085 - 2² = 824081 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9112 + ... + 9201.

It is an arithmetic number, because the mean of its divisors is an integer number (119041).

2⁸²⁴⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

824085 is a deficient number, since it is larger than the sum of its proper divisors (604407).

824085 is a wasteful number, since it uses less digits than its factorization.

824085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18324 (or 18321 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 824085 is about 907.7912755694. The cubic root of 824085 is about 93.7541864797.

The spelling of 824085 in words is "eight hundred twenty-four thousand, eighty-five".