167873 has 2 divisors, whose sum is σ = 167874. Its totient is φ = 167872.

The previous prime is 167863. The next prime is 167879. The reversal of 167873 is 378761.

It is a happy number.

167873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124609 + 43264 = 353^2 + 208^2 .

It is an emirp because it is prime and its reverse (378761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167873 - 2⁶ = 167809 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 (167879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83936 + 83937.

It is an arithmetic number, because the mean of its divisors is an integer number (83937).

2¹⁶⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

167873 is a deficient number, since it is larger than the sum of its proper divisors (1).

167873 is an equidigital number, since it uses as much as digits as its factorization.

167873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 32.

The square root of 167873 is about 409.7230772119. The cubic root of 167873 is about 55.1645759205.

The spelling of 167873 in words is "one hundred sixty-seven thousand, eight hundred seventy-three".