827175121 has 2 divisors, whose sum is σ = 827175122. Its totient is φ = 827175120.

The previous prime is 827175119. The next prime is 827175157. The reversal of 827175121 is 121571728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 572932096 + 254243025 = 23936^2 + 15945^2 .

It is a cyclic number.

It is not a de Polignac number, because 827175121 - 2¹ = 827175119 is a prime.

Together with 827175119, it forms a pair of twin primes.

It is equal to p_42470827 and since 827175121 and 42470827 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (827175101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413587560 + 413587561.

It is an arithmetic number, because the mean of its divisors is an integer number (413587561).

Almost surely, 2^827175121 is an apocalyptic number.

It is an amenable number.

827175121 is a deficient number, since it is larger than the sum of its proper divisors (1).

827175121 is an equidigital number, since it uses as much as digits as its factorization.

827175121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7840, while the sum is 34.

The square root of 827175121 is about 28760.6523048418. The cubic root of 827175121 is about 938.7122554583.

The spelling of 827175121 in words is "eight hundred twenty-seven million, one hundred seventy-five thousand, one hundred twenty-one".