827525 has 12 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 652080.

The previous prime is 827521. The next prime is 827537. The reversal of 827525 is 525728.

It is not a de Polignac number, because 827525 - 2² = 827521 is a prime.

It is a d-powerful number, because it can be written as 8² + 2⁸ + 5² + 7⁷ + 2⁹ + 5⁵ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827521) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1766 + ... + 2184.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

2⁸²⁷⁵²⁵ is an apocalyptic number.

It is an amenable number.

827525 is a deficient number, since it is larger than the sum of its proper divisors (214075).

827525 is a wasteful number, since it uses less digits than its factorization.

827525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 503 counting only the distinct ones).

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

The square root of 827525 is about 909.6840110720. The cubic root of 827525 is about 93.8844589149.

The spelling of 827525 in words is "eight hundred twenty-seven thousand, five hundred twenty-five".