165875 has 8 divisors (see below), whose sum is σ = 207168. Its totient is φ = 132600.

The previous prime is 165857. The next prime is 165877. The reversal of 165875 is 578561.

It is not a de Polignac number, because 165875 - 2⁶ = 165811 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165875.

It is not an unprimeable number, because it can be changed into a prime (165877) 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, 539 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (25896).

2¹⁶⁵⁸⁷⁵ is an apocalyptic number.

165875 is a deficient number, since it is larger than the sum of its proper divisors (41293).

165875 is an equidigital number, since it uses as much as digits as its factorization.

165875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1332 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 165875 is about 407.2775466436. The cubic root of 165875 is about 54.9448482959.

Subtracting 165875 from its reverse (578561), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 165875 in words is "one hundred sixty-five thousand, eight hundred seventy-five".