165361 has 4 divisors (see below), whose sum is σ = 188992. Its totient is φ = 141732.

The previous prime is 165349. The next prime is 165367. The reversal of 165361 is 163561.

165361 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, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 165361 - 2⁷ = 165233 is a prime.

It is a Duffinian number.

165361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (165367) 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, 11805 + ... + 11818.

It is an arithmetic number, because the mean of its divisors is an integer number (47248).

2¹⁶⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

165361 is a deficient number, since it is larger than the sum of its proper divisors (23631).

165361 is an equidigital number, since it uses as much as digits as its factorization.

165361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23630.

The product of its digits is 540, while the sum is 22.

The square root of 165361 is about 406.6460377281. The cubic root of 165361 is about 54.8880366942. Note that the first 3 decimals are identical.

The spelling of 165361 in words is "one hundred sixty-five thousand, three hundred sixty-one".