165353 has 8 divisors (see below), whose sum is σ = 175560. Its totient is φ = 155520.

The previous prime is 165349. The next prime is 165367. The reversal of 165353 is 353561.

165353 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 4 ways, for example, as 29929 + 135424 = 173^2 + 368^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 165353 - 2² = 165349 is a prime.

It is a super-2 number, since 2×165353² = 54683229218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1463 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (21945).

2¹⁶⁵³⁵³ is an apocalyptic number.

It is an amenable number.

165353 is a deficient number, since it is larger than the sum of its proper divisors (10207).

165353 is a wasteful number, since it uses less digits than its factorization.

165353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187.

The product of its digits is 1350, while the sum is 23.

The square root of 165353 is about 406.6362010446. The cubic root of 165353 is about 54.8871515371.

The spelling of 165353 in words is "one hundred sixty-five thousand, three hundred fifty-three".