165953 has 4 divisors (see below), whose sum is σ = 166848. Its totient is φ = 165060.

The previous prime is 165947. The next prime is 165961. The reversal of 165953 is 359561.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 165953 - 2¹⁶ = 100417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (165983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (41712).

2¹⁶⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

165953 is a deficient number, since it is larger than the sum of its proper divisors (895).

165953 is an equidigital number, since it uses as much as digits as its factorization.

165953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894.

The product of its digits is 4050, while the sum is 29.

The square root of 165953 is about 407.3732931845. The cubic root of 165953 is about 54.9534592511.

The spelling of 165953 in words is "one hundred sixty-five thousand, nine hundred fifty-three".