827832121 has 2 divisors, whose sum is σ = 827832122. Its totient is φ = 827832120.

The previous prime is 827832113. The next prime is 827832133. The reversal of 827832121 is 121238728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 551075625 + 276756496 = 23475^2 + 16636^2 .

It is a cyclic number.

It is not a de Polignac number, because 827832121 - 2³ = 827832113 is a prime.

It is not a weakly prime, because it can be changed into another prime (827833121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413916060 + 413916061.

It is an arithmetic number, because the mean of its divisors is an integer number (413916061).

Almost surely, 2^827832121 is an apocalyptic number.

It is an amenable number.

827832121 is a deficient number, since it is larger than the sum of its proper divisors (1).

827832121 is an equidigital number, since it uses as much as digits as its factorization.

827832121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10752, while the sum is 34.

The square root of 827832121 is about 28772.0718927226. The cubic root of 827832121 is about 938.9607198701.

The spelling of 827832121 in words is "eight hundred twenty-seven million, eight hundred thirty-two thousand, one hundred twenty-one".