165020 has 24 divisors (see below), whose sum is σ = 357504. Its totient is φ = 63936.

The previous prime is 165001. The next prime is 165037. The reversal of 165020 is 20561.

It is a junction number, because it is equal to n+sod(n) for n = 164986 and 165004.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 629 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2¹⁶⁵⁰²⁰ is an apocalyptic number.

165020 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 165020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178752).

165020 is an abundant number, since it is smaller than the sum of its proper divisors (192484).

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

165020 is a wasteful number, since it uses less digits than its factorization.

165020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 165020 is about 406.2265377840. The cubic root of 165020 is about 54.8502815182.

Adding to 165020 its reverse (20561), we get a palindrome (185581).

The spelling of 165020 in words is "one hundred sixty-five thousand, twenty".