167772161 has 2 divisors, whose sum is σ = 167772162. Its totient is φ = 167772160.

The previous prime is 167772107. The next prime is 167772193. The reversal of 167772161 is 161277761.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155127025 + 12645136 = 12455^2 + 3556^2 .

It is an emirp because it is prime and its reverse (161277761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167772161 - 2¹⁸ = 167510017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (167772061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83886080 + 83886081.

It is an arithmetic number, because the mean of its divisors is an integer number (83886081).

It is a Proth number, since it is equal to 5 ⋅ 2²⁵ + 1 and 5 < 2²⁵.

Almost surely, 2^167772161 is an apocalyptic number.

It is an amenable number.

167772161 is a deficient number, since it is larger than the sum of its proper divisors (1).

167772161 is an equidigital number, since it uses as much as digits as its factorization.

167772161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24696, while the sum is 38.

The square root of 167772161 is about 12952.6893346517. The cubic root of 167772161 is about 551.5352817440.

The spelling of 167772161 in words is "one hundred sixty-seven million, seven hundred seventy-two thousand, one hundred sixty-one".