827 has 2 divisors, whose sum is σ = 828. Its totient is φ = 826.

The previous prime is 823. The next prime is 829. The reversal of 827 is 728.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 827 - 2^{2} = 823 is a prime.

Together with 829, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 6, base 9, base 12 and base 16.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 827.

It is not a weakly prime, because it can be changed into another prime (821) 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 as a sum of consecutive naturals, namely, 413 + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (414).

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

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

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

The product of its digits is 112, while the sum is 17.

The square root of 827 is about 28.7576076891. The cubic root of 827 is about 9.3864600595.

Adding to 827 its product of digits (112), we get a palindrome (939).

Subtracting from 827 its reverse (728), we obtain a palindrome (99).

It can be divided in two parts, 8 and 27, that multiplied together give a cube (216 = 6^{3}).

The spelling of 827 in words is "eight hundred twenty-seven", and thus it is an aban number and an oban number.

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