165000 has 80 divisors (see below), whose sum is σ = 562320. Its totient is φ = 40000.

The previous prime is 164999. The next prime is 165001. The reversal of 165000 is 561.

It is an interprime number because it is at equal distance from previous prime (164999) and next prime (165001).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (165001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14995 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (7029).

2¹⁶⁵⁰⁰⁰ is an apocalyptic number.

165000 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 165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281160).

165000 is an abundant number, since it is smaller than the sum of its proper divisors (397320).

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

165000 is a wasteful number, since it uses less digits than its factorization.

165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 165000 is about 406.2019202318. The cubic root of 165000 is about 54.8480655243.

Adding to 165000 its reverse (561), we get a palindrome (165561).

The spelling of 165000 in words is "one hundred sixty-five thousand".