827833121 has 2 divisors, whose sum is σ = 827833122. Its totient is φ = 827833120.

The previous prime is 827833103. The next prime is 827833133. The reversal of 827833121 is 121338728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 766680721 + 61152400 = 27689^2 + 7820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827833121 is a prime.

It is not a weakly prime, because it can be changed into another prime (827833151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413916560 + 413916561.

It is an arithmetic number, because the mean of its divisors is an integer number (413916561).

Almost surely, 2^827833121 is an apocalyptic number.

It is an amenable number.

827833121 is a deficient number, since it is larger than the sum of its proper divisors (1).

827833121 is an equidigital number, since it uses as much as digits as its factorization.

827833121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16128, while the sum is 35.

The square root of 827833121 is about 28772.0892706804. The cubic root of 827833121 is about 938.9610979501.

The spelling of 827833121 in words is "eight hundred twenty-seven million, eight hundred thirty-three thousand, one hundred twenty-one".