527824 has 20 divisors (see below), whose sum is σ = 1116000. Its totient is φ = 239840.

The previous prime is 527819. The next prime is 527843. The reversal of 527824 is 428725.

527824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁸ + 8² + 7³ + 2¹⁸ + 4 .

It is a junction number, because it is equal to n+sod(n) for n = 527792 and 527801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1324 + ... + 1675.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

527824 is a Friedman number, since it can be written as (7*2)^5-(8+2)^4, using all its digits and the basic arithmetic operations.

2⁵²⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

527824 is an abundant number, since it is smaller than the sum of its proper divisors (588176).

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

527824 is a wasteful number, since it uses less digits than its factorization.

527824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3012 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 527824 is about 726.5149688754. The cubic root of 527824 is about 80.8158188810.

Subtracting from 527824 its reverse (428725), we obtain a palindrome (99099).

The spelling of 527824 in words is "five hundred twenty-seven thousand, eight hundred twenty-four".