825527 has 2 divisors, whose sum is σ = 825528. Its totient is φ = 825526.

The previous prime is 825509. The next prime is 825533. The reversal of 825527 is 725528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 825527 - 2¹⁴ = 809143 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825527.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825527.

It is not a weakly prime, because it can be changed into another prime (825547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412763 + 412764.

It is an arithmetic number, because the mean of its divisors is an integer number (412764).

2⁸²⁵⁵²⁷ is an apocalyptic number.

825527 is a deficient number, since it is larger than the sum of its proper divisors (1).

825527 is an equidigital number, since it uses as much as digits as its factorization.

825527 is an odious number, because the sum of its binary digits is odd.

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

The square root of 825527 is about 908.5851638674. The cubic root of 825527 is about 93.8088389159.

Subtracting from 825527 its reverse (725528), we obtain a palindrome (99999).

The spelling of 825527 in words is "eight hundred twenty-five thousand, five hundred twenty-seven".