165567 has 8 divisors (see below), whose sum is σ = 222640. Its totient is φ = 109440.

The previous prime is 165559. The next prime is 165569. The reversal of 165567 is 765561.

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

It is not a de Polignac number, because 165567 - 2³ = 165559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165569) 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, 567 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (27830).

2¹⁶⁵⁵⁶⁷ is an apocalyptic number.

165567 is a deficient number, since it is larger than the sum of its proper divisors (57073).

165567 is a wasteful number, since it uses less digits than its factorization.

165567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473.

The product of its digits is 6300, while the sum is 30.

The square root of 165567 is about 406.8992504294. The cubic root of 165567 is about 54.9108196631.

The spelling of 165567 in words is "one hundred sixty-five thousand, five hundred sixty-seven".