527825 has 12 divisors (see below), whose sum is σ = 671088. Its totient is φ = 411600.

The previous prime is 527819. The next prime is 527843. The reversal of 527825 is 528725.

It is not a de Polignac number, because 527825 - 2⁴ = 527809 is a prime.

It is a d-powerful number, because it can be written as 5 + 2¹⁸ + 8² + 7³ + 2¹⁸ + 5⁵ .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 830 + ... + 1320.

It is an arithmetic number, because the mean of its divisors is an integer number (55924).

2⁵²⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

527825 is a deficient number, since it is larger than the sum of its proper divisors (143263).

527825 is a wasteful number, since it uses less digits than its factorization.

527825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 527825 is about 726.5156570921. The cubic root of 527825 is about 80.8158699181.

Subtracting from 527825 its product of digits (5600), we obtain a palindrome (522225).

Subtracting 527825 from its reverse (528725), we obtain a square (900 = 30²).

The spelling of 527825 in words is "five hundred twenty-seven thousand, eight hundred twenty-five".