824985 has 48 divisors (see below), whose sum is σ = 1712256. Its totient is φ = 373248.

The previous prime is 824983. The next prime is 825001. The reversal of 824985 is 589428.

824985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 824985 - 2¹ = 824983 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 824985.

It is not an unprimeable number, because it can be changed into a prime (824981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8457 + ... + 8553.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2⁸²⁴⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

824985 is an abundant number, since it is smaller than the sum of its proper divisors (887271).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

824985 is an equidigital number, since it uses as much as digits as its factorization.

824985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 824985 is about 908.2868489635. The cubic root of 824985 is about 93.7883043475.

The spelling of 824985 in words is "eight hundred twenty-four thousand, nine hundred eighty-five".