165048 has 48 divisors (see below), whose sum is σ = 464520. Its totient is φ = 48576.

The previous prime is 165047. The next prime is 165049. The reversal of 165048 is 840561.

It is an interprime number because it is at equal distance from previous prime (165047) and next prime (165049).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7165 + ... + 7187.

2¹⁶⁵⁰⁴⁸ 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 165048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232260).

165048 is an abundant number, since it is smaller than the sum of its proper divisors (299472).

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

165048 is a wasteful number, since it uses less digits than its factorization.

165048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 165048 is about 406.2609998511. The cubic root of 165048 is about 54.8533836090.

The spelling of 165048 in words is "one hundred sixty-five thousand, forty-eight".