165867 has 8 divisors (see below), whose sum is σ = 238224. Its totient is φ = 102048.

The previous prime is 165857. The next prime is 165877. The reversal of 165867 is 768561.

It is an interprime number because it is at equal distance from previous prime (165857) and next prime (165877).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 165867 - 2⁸ = 165611 is a prime.

165867 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165867.

It is not an unprimeable number, because it can be changed into a prime (165817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2088 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (29778).

2¹⁶⁵⁸⁶⁷ is an apocalyptic number.

165867 is a deficient number, since it is larger than the sum of its proper divisors (72357).

165867 is a wasteful number, since it uses less digits than its factorization.

165867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269.

The product of its digits is 10080, while the sum is 33.

The square root of 165867 is about 407.2677252128. The cubic root of 165867 is about 54.9439649684.

The spelling of 165867 in words is "one hundred sixty-five thousand, eight hundred sixty-seven".