165042 has 24 divisors (see below), whose sum is σ = 366444. Its totient is φ = 53664.

The previous prime is 165041. The next prime is 165047. The reversal of 165042 is 240561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 145161 + 19881 = 381^2 + 141^2 .

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

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, 868 + ... + 1040.

2¹⁶⁵⁰⁴² is an apocalyptic number.

165042 is an abundant number, since it is smaller than the sum of its proper divisors (201402).

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

165042 is a wasteful number, since it uses less digits than its factorization.

165042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

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

The square root of 165042 is about 406.2536153685. The cubic root of 165042 is about 54.8527189048.

The spelling of 165042 in words is "one hundred sixty-five thousand, forty-two".