165505 has 8 divisors (see below), whose sum is σ = 201600. Its totient is φ = 130416.

The previous prime is 165479. The next prime is 165511. The reversal of 165505 is 505561.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-165505 is a prime.

165505 is a lucky number.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186 + ... + 604.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2¹⁶⁵⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

165505 is a deficient number, since it is larger than the sum of its proper divisors (36095).

165505 is an equidigital number, since it uses as much as digits as its factorization.

165505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 165505 is about 406.8230573603. The cubic root of 165505 is about 54.9039646419.

The spelling of 165505 in words is "one hundred sixty-five thousand, five hundred five".