164167 has 4 divisors (see below), whose sum is σ = 165256. Its totient is φ = 163080.

The previous prime is 164149. The next prime is 164173. The reversal of 164167 is 761461.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 761461 = 23 ⋅33107.

It is a cyclic number.

It is not a de Polignac number, because 164167 - 2⁷ = 164039 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 (164117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (41314).

2¹⁶⁴¹⁶⁷ is an apocalyptic number.

164167 is a deficient number, since it is larger than the sum of its proper divisors (1089).

164167 is an equidigital number, since it uses as much as digits as its factorization.

164167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088.

The product of its digits is 1008, while the sum is 25.

The square root of 164167 is about 405.1752707163. The cubic root of 164167 is about 54.7556098864.

The spelling of 164167 in words is "one hundred sixty-four thousand, one hundred sixty-seven".