165835 has 8 divisors (see below), whose sum is σ = 210816. Its totient is φ = 124800.

The previous prime is 165833. The next prime is 165857. The reversal of 165835 is 538561.

165835 = T₃₃₁ + T₃₃₂ + T₃₃₃.

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

It is not a de Polignac number, because 165835 - 2¹ = 165833 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 891 + ... + 1060.

It is an arithmetic number, because the mean of its divisors is an integer number (26352).

2¹⁶⁵⁸³⁵ is an apocalyptic number.

165835 is the 333-rd centered triangular number.

165835 is a deficient number, since it is larger than the sum of its proper divisors (44981).

165835 is a wasteful number, since it uses less digits than its factorization.

165835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973.

The product of its digits is 3600, while the sum is 28.

The square root of 165835 is about 407.2284371210. The cubic root of 165835 is about 54.9404313743.

It can be divided in two parts, 165 and 835, that added together give a cube (1000 = 10³).

The spelling of 165835 in words is "one hundred sixty-five thousand, eight hundred thirty-five".