165605 has 8 divisors (see below), whose sum is σ = 216864. Its totient is φ = 120400.

The previous prime is 165601. The next prime is 165611. The reversal of 165605 is 506561.

165605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 165605 - 2² = 165601 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1451 + ... + 1560.

It is an arithmetic number, because the mean of its divisors is an integer number (27108).

2¹⁶⁵⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

165605 is a deficient number, since it is larger than the sum of its proper divisors (51259).

165605 is a wasteful number, since it uses less digits than its factorization.

165605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 165605 is about 406.9459423560. The cubic root of 165605 is about 54.9150202818.

The spelling of 165605 in words is "one hundred sixty-five thousand, six hundred five".