827832133 has 2 divisors, whose sum is σ = 827832134. Its totient is φ = 827832132.

The previous prime is 827832121. The next prime is 827832149. The reversal of 827832133 is 331238728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 629106724 + 198725409 = 25082^2 + 14097^2 .

It is a cyclic number.

It is not a de Polignac number, because 827832133 - 2²¹ = 825734981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827832092 and 827832101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827832113) 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, 413916066 + 413916067.

It is an arithmetic number, because the mean of its divisors is an integer number (413916067).

Almost surely, 2^827832133 is an apocalyptic number.

It is an amenable number.

827832133 is a deficient number, since it is larger than the sum of its proper divisors (1).

827832133 is an equidigital number, since it uses as much as digits as its factorization.

827832133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 827832133 is about 28772.0721012582. The cubic root of 827832133 is about 938.9607244070.

The spelling of 827832133 in words is "eight hundred twenty-seven million, eight hundred thirty-two thousand, one hundred thirty-three".