827919101 has 2 divisors, whose sum is σ = 827919102. Its totient is φ = 827919100.

The previous prime is 827919049. The next prime is 827919137. The reversal of 827919101 is 101919728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 770007001 + 57912100 = 27749^2 + 7610^2 .

It is a cyclic number.

It is not a de Polignac number, because 827919101 - 2¹⁴ = 827902717 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_42506993 and since 827919101 and 42506993 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827919151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413959550 + 413959551.

It is an arithmetic number, because the mean of its divisors is an integer number (413959551).

Almost surely, 2^827919101 is an apocalyptic number.

It is an amenable number.

827919101 is a deficient number, since it is larger than the sum of its proper divisors (1).

827919101 is an equidigital number, since it uses as much as digits as its factorization.

827919101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 38.

The square root of 827919101 is about 28773.5833882400. The cubic root of 827919101 is about 938.9936041313.

The spelling of 827919101 in words is "eight hundred twenty-seven million, nine hundred nineteen thousand, one hundred one".