165507 has 8 divisors (see below), whose sum is σ = 225984. Its totient is φ = 107688.

The previous prime is 165479. The next prime is 165511. The reversal of 165507 is 705561.

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

It is not a de Polignac number, because 165507 - 2⁶ = 165443 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (165527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513 + ... + 770.

It is an arithmetic number, because the mean of its divisors is an integer number (28248).

2¹⁶⁵⁵⁰⁷ is an apocalyptic number.

165507 is a deficient number, since it is larger than the sum of its proper divisors (60477).

165507 is a wasteful number, since it uses less digits than its factorization.

165507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 165507 is about 406.8255154240. The cubic root of 165507 is about 54.9041857983.

The spelling of 165507 in words is "one hundred sixty-five thousand, five hundred seven".