165024 has 48 divisors (see below), whose sum is σ = 483840. Its totient is φ = 54720.

The previous prime is 165001. The next prime is 165037. The reversal of 165024 is 420561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 164988 and 165006.

It is a congruent number.

It is an unprimeable number.

165024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 769 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁶⁵⁰²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

165024 is an abundant number, since it is smaller than the sum of its proper divisors (318816).

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

165024 is a wasteful number, since it uses less digits than its factorization.

165024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 165024 is about 406.2314611155. The cubic root of 165024 is about 54.8507246955.

Adding to 165024 its reverse (420561), we get a palindrome (585585).

It can be divided in two parts, 1 and 65024, that added together give a square (65025 = 255²).

The spelling of 165024 in words is "one hundred sixty-five thousand, twenty-four".