165337 has 4 divisors (see below), whose sum is σ = 167076. Its totient is φ = 163600.

The previous prime is 165331. The next prime is 165343. The reversal of 165337 is 733561.

It is a happy number.

165337 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.

It is an interprime number because it is at equal distance from previous prime (165331) and next prime (165343).

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 84681 = 284^2 + 291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-165337 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165337.

It is not an unprimeable number, because it can be changed into a prime (165331) 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, 718 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (41769).

2¹⁶⁵³³⁷ is an apocalyptic number.

It is an amenable number.

165337 is a deficient number, since it is larger than the sum of its proper divisors (1739).

165337 is a wasteful number, since it uses less digits than its factorization.

165337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738.

The product of its digits is 1890, while the sum is 25.

The square root of 165337 is about 406.6165269637. The cubic root of 165337 is about 54.8853811373.

Adding to 165337 its reverse (733561), we get a palindrome (898898).

The spelling of 165337 in words is "one hundred sixty-five thousand, three hundred thirty-seven".