827122167 has 12 divisors (see below), whose sum is σ = 1195943320. Its totient is φ = 550855728.

The previous prime is 827122099. The next prime is 827122211. The reversal of 827122167 is 761221728.

It is not a de Polignac number, because 827122167 - 2¹⁹ = 826597879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827127167) 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 in 11 ways as a sum of consecutive naturals, for example, 37117 + ... + 55062.

Almost surely, 2^827122167 is an apocalyptic number.

827122167 is a deficient number, since it is larger than the sum of its proper divisors (368821153).

827122167 is a wasteful number, since it uses less digits than its factorization.

827122167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93182 (or 93179 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 827122167 is about 28759.7316920725. The cubic root of 827122167 is about 938.6922235738.

The spelling of 827122167 in words is "eight hundred twenty-seven million, one hundred twenty-two thousand, one hundred sixty-seven".