165845 has 8 divisors (see below), whose sum is σ = 204120. Its totient is φ = 129280.

The previous prime is 165833. The next prime is 165857. The reversal of 165845 is 548561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165833) and next prime (165857).

It can be written as a sum of positive squares in 4 ways, for example, as 10609 + 155236 = 103^2 + 394^2 .

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

It is not a de Polignac number, because 165845 - 2⁴ = 165829 is a prime.

It is a Curzon number.

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 165845.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2¹⁶⁵⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

165845 is a deficient number, since it is larger than the sum of its proper divisors (38275).

165845 is an equidigital number, since it uses as much as digits as its factorization.

165845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855.

The product of its digits is 4800, while the sum is 29.

The square root of 165845 is about 407.2407150568. The cubic root of 165845 is about 54.9415356713.

The spelling of 165845 in words is "one hundred sixty-five thousand, eight hundred forty-five".