165837 has 16 divisors (see below), whose sum is σ = 259200. Its totient is φ = 92352.

The previous prime is 165833. The next prime is 165857. The reversal of 165837 is 738561.

It is not a de Polignac number, because 165837 - 2² = 165833 is a prime.

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 165837.

It is not an unprimeable number, because it can be changed into a prime (165833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2¹⁶⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

165837 is a deficient number, since it is larger than the sum of its proper divisors (93363).

165837 is a wasteful number, since it uses less digits than its factorization.

165837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212.

The product of its digits is 5040, while the sum is 30.

The square root of 165837 is about 407.2308927378. The cubic root of 165837 is about 54.9406522373.

The spelling of 165837 in words is "one hundred sixty-five thousand, eight hundred thirty-seven".