165827 has 4 divisors (see below), whose sum is σ = 167160. Its totient is φ = 164496.

The previous prime is 165817. The next prime is 165829. The reversal of 165827 is 728561.

165827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 165827 - 2⁴ = 165811 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165827.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165827.

It is not an unprimeable number, because it can be changed into a prime (165829) 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, 458 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (41790).

2¹⁶⁵⁸²⁷ is an apocalyptic number.

165827 is a deficient number, since it is larger than the sum of its proper divisors (1333).

165827 is a wasteful number, since it uses less digits than its factorization.

165827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332.

The product of its digits is 3360, while the sum is 29.

The square root of 165827 is about 407.2186145058. The cubic root of 165827 is about 54.9395479048.

The spelling of 165827 in words is "one hundred sixty-five thousand, eight hundred twenty-seven".