165253 has 8 divisors (see below), whose sum is σ = 183456. Its totient is φ = 147600.

The previous prime is 165247. The next prime is 165287. The reversal of 165253 is 352561.

It is a happy number.

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 165253 - 2¹³ = 157061 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 (165203) 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, 823 + ... + 1003.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2¹⁶⁵²⁵³ is an apocalyptic number.

It is an amenable number.

165253 is a deficient number, since it is larger than the sum of its proper divisors (18203).

165253 is a wasteful number, since it uses less digits than its factorization.

165253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its digits is 900, while the sum is 22.

The square root of 165253 is about 406.5132224172. The cubic root of 165253 is about 54.8760846640.

It can be divided in two parts, 16 and 5253, that multiplied together give a palindrome (84048).

The spelling of 165253 in words is "one hundred sixty-five thousand, two hundred fifty-three".