827129 has 2 divisors, whose sum is σ = 827130. Its totient is φ = 827128.

The previous prime is 827087. The next prime is 827131. The reversal of 827129 is 921728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 765625 + 61504 = 875^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 827129 - 2¹² = 823033 is a prime.

Together with 827131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (827429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413564 + 413565.

It is an arithmetic number, because the mean of its divisors is an integer number (413565).

2⁸²⁷¹²⁹ is an apocalyptic number.

It is an amenable number.

827129 is a deficient number, since it is larger than the sum of its proper divisors (1).

827129 is an equidigital number, since it uses as much as digits as its factorization.

827129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 827129 is about 909.4663270292. The cubic root of 827129 is about 93.8694808467.

The spelling of 827129 in words is "eight hundred twenty-seven thousand, one hundred twenty-nine".