168007 has 4 divisors (see below), whose sum is σ = 192016. Its totient is φ = 144000.

The previous prime is 167987. The next prime is 168013. The reversal of 168007 is 700861.

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 168007 - 2⁷ = 167879 is a prime.

It is a Duffinian number.

168007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168037) 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, 11994 + ... + 12007.

It is an arithmetic number, because the mean of its divisors is an integer number (48004).

2¹⁶⁸⁰⁰⁷ is an apocalyptic number.

168007 is a deficient number, since it is larger than the sum of its proper divisors (24009).

168007 is an equidigital number, since it uses as much as digits as its factorization.

168007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24008.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 168007 is about 409.8865696751. The cubic root of 168007 is about 55.1792498848.

Adding to 168007 its reverse (700861), we get a palindrome (868868).

It can be divided in two parts, 16800 and 7, that added together give a 5-th power (16807 = 7⁵).

The spelling of 168007 in words is "one hundred sixty-eight thousand, seven".