827981129 has 2 divisors, whose sum is σ = 827981130. Its totient is φ = 827981128.

The previous prime is 827981083. The next prime is 827981131. The reversal of 827981129 is 921189728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 824551225 + 3429904 = 28715^2 + 1852^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827981129 is a prime.

It is a super-2 number, since 2×827981129² = 1371105499960229282, which contains 22 as substring.

Together with 827981131, 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 (827981629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413990564 + 413990565.

It is an arithmetic number, because the mean of its divisors is an integer number (413990565).

Almost surely, 2^827981129 is an apocalyptic number.

It is an amenable number.

827981129 is a deficient number, since it is larger than the sum of its proper divisors (1).

827981129 is an equidigital number, since it uses as much as digits as its factorization.

827981129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 47.

The square root of 827981129 is about 28774.6612317157. The cubic root of 827981129 is about 939.0170534598.

The spelling of 827981129 in words is "eight hundred twenty-seven million, nine hundred eighty-one thousand, one hundred twenty-nine".