165362 has 8 divisors (see below), whose sum is σ = 251100. Its totient is φ = 81664.

The previous prime is 165349. The next prime is 165367. The reversal of 165362 is 263561.

165362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 128881 + 36481 = 359^2 + 191^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165362.

It is not an unprimeable number, because it can be changed into a prime (165367) by changing a digit.

165362 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287 + ... + 642.

2¹⁶⁵³⁶² is an apocalyptic number.

165362 is a deficient number, since it is larger than the sum of its proper divisors (85738).

165362 is an equidigital number, since it uses as much as digits as its factorization.

165362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020.

The product of its digits is 1080, while the sum is 23.

The square root of 165362 is about 406.6472672969. The cubic root of 165362 is about 54.8881473368. Note that the first 3 decimals are identical.

The spelling of 165362 in words is "one hundred sixty-five thousand, three hundred sixty-two".