165930 has 16 divisors (see below), whose sum is σ = 398304. Its totient is φ = 44240.

The previous prime is 165901. The next prime is 165931. The reversal of 165930 is 39561.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 165930.

It is not an unprimeable number, because it can be changed into a prime (165931) 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, 2736 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (24894).

2¹⁶⁵⁹³⁰ is an apocalyptic number.

165930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165930 is an abundant number, since it is smaller than the sum of its proper divisors (232374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165930 is a wasteful number, since it uses less digits than its factorization.

165930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 165930 is about 407.3450625698. The cubic root of 165930 is about 54.9509204039.

It can be divided in two parts, 1659 and 30, that multiplied together give a triangular number (49770 = T₃₁₅).

The spelling of 165930 in words is "one hundred sixty-five thousand, nine hundred thirty".