825827 has 2 divisors, whose sum is σ = 825828. Its totient is φ = 825826.

The previous prime is 825821. The next prime is 825829. The reversal of 825827 is 728528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 825827 - 2⁶ = 825763 is a prime.

Together with 825829, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 825793 and 825802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825827.

It is not a weakly prime, because it can be changed into another prime (825821) 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, 412913 + 412914.

It is an arithmetic number, because the mean of its divisors is an integer number (412914).

2⁸²⁵⁸²⁷ is an apocalyptic number.

825827 is a deficient number, since it is larger than the sum of its proper divisors (1).

825827 is an equidigital number, since it uses as much as digits as its factorization.

825827 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8960, while the sum is 32.

The square root of 825827 is about 908.7502407152. The cubic root of 825827 is about 93.8202010492.

The spelling of 825827 in words is "eight hundred twenty-five thousand, eight hundred twenty-seven".