165385280 has 28 divisors (see below), whose sum is σ = 393824460. Its totient is φ = 66153984.

The previous prime is 165385271. The next prime is 165385303. The reversal of 165385280 is 82583561.

It can be written as a sum of positive squares in 2 ways, for example, as 99840064 + 65545216 = 9992^2 + 8096^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258095 + ... + 258734.

Almost surely, 2^165385280 is an apocalyptic number.

165385280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165385280 is an abundant number, since it is smaller than the sum of its proper divisors (228439180).

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

165385280 is an equidigital number, since it uses as much as digits as its factorization.

165385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516846 (or 516836 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 165385280 is about 12860.2208379172. The cubic root of 165385280 is about 548.9072297108.

The spelling of 165385280 in words is "one hundred sixty-five million, three hundred eighty-five thousand, two hundred eighty".