165300 has 72 divisors (see below), whose sum is σ = 520800. Its totient is φ = 40320.

The previous prime is 165293. The next prime is 165311. The reversal of 165300 is 3561.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 165300.

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 165300.

It is an unprimeable number.

165300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5686 + ... + 5714.

2¹⁶⁵³⁰⁰ is an apocalyptic number.

165300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

165300 is an abundant number, since it is smaller than the sum of its proper divisors (355500).

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

165300 is a wasteful number, since it uses less digits than its factorization.

165300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 165300 is about 406.5710270051. The cubic root of 165300 is about 54.8812866503.

Adding to 165300 its reverse (3561), we get a palindrome (168861).

It can be divided in two parts, 165 and 300, that added together give a triangular number (465 = T₃₀).

The spelling of 165300 in words is "one hundred sixty-five thousand, three hundred".