165280 has 24 divisors (see below), whose sum is σ = 390852. Its totient is φ = 66048.

The previous prime is 165247. The next prime is 165287. The reversal of 165280 is 82561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 8464 = 396^2 + 92^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (165287) by changing a digit.

165280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 357 + ... + 676.

2¹⁶⁵²⁸⁰ is an apocalyptic number.

165280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165280 is an abundant number, since it is smaller than the sum of its proper divisors (225572).

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

165280 is a wasteful number, since it uses less digits than its factorization.

165280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 165280 is about 406.5464303127. The cubic root of 165280 is about 54.8790731596.

The spelling of 165280 in words is "one hundred sixty-five thousand, two hundred eighty".