171967 has 4 divisors (see below), whose sum is σ = 172800. Its totient is φ = 171136.

The previous prime is 171947. The next prime is 172001. The reversal of 171967 is 769171.

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: 769171 = 13 ⋅59167.

It is a cyclic number.

It is not a de Polignac number, because 171967 - 2¹¹ = 169919 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171917) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159 + ... + 607.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2¹⁷¹⁹⁶⁷ is an apocalyptic number.

171967 is a deficient number, since it is larger than the sum of its proper divisors (833).

171967 is an equidigital number, since it uses as much as digits as its factorization.

171967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

The product of its digits is 2646, while the sum is 31.

The square root of 171967 is about 414.6890401252. The cubic root of 171967 is about 55.6094207938.

The spelling of 171967 in words is "one hundred seventy-one thousand, nine hundred sixty-seven".