827882833 has 2 divisors, whose sum is σ = 827882834. Its totient is φ = 827882832.

The previous prime is 827882831. The next prime is 827882837. The reversal of 827882833 is 338288728.

It is a happy number.

827882833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 536941584 + 290941249 = 23172^2 + 17057^2 .

It is a cyclic number.

It is not a de Polignac number, because 827882833 - 2¹ = 827882831 is a prime.

It is a super-2 number, since 2×827882833² = 1370779970352211778, which contains 22 as substring.

Together with 827882831, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (827882831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413941416 + 413941417.

It is an arithmetic number, because the mean of its divisors is an integer number (413941417).

Almost surely, 2^827882833 is an apocalyptic number.

It is an amenable number.

827882833 is a deficient number, since it is larger than the sum of its proper divisors (1).

827882833 is an equidigital number, since it uses as much as digits as its factorization.

827882833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1032192, while the sum is 49.

The square root of 827882833 is about 28772.9531504849. The cubic root of 827882833 is about 938.9798926800.

The spelling of 827882833 in words is "eight hundred twenty-seven million, eight hundred eighty-two thousand, eight hundred thirty-three".