172167 has 4 divisors (see below), whose sum is σ = 229560. Its totient is φ = 114776.

The previous prime is 172157. The next prime is 172169. The reversal of 172167 is 761271.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 172167 - 2¹² = 168071 is a prime.

It is a D-number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172167.

It is not an unprimeable number, because it can be changed into a prime (172169) 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, 28692 + ... + 28697.

It is an arithmetic number, because the mean of its divisors is an integer number (57390).

2¹⁷²¹⁶⁷ is an apocalyptic number.

172167 is a deficient number, since it is larger than the sum of its proper divisors (57393).

172167 is an equidigital number, since it uses as much as digits as its factorization.

172167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57392.

The product of its digits is 588, while the sum is 24.

The square root of 172167 is about 414.9301145976. The cubic root of 172167 is about 55.6309706169.

The spelling of 172167 in words is "one hundred seventy-two thousand, one hundred sixty-seven".