165353220 has 72 divisors (see below), whose sum is σ = 531085464. Its totient is φ = 41499648.

The previous prime is 165353207. The next prime is 165353291. The reversal of 165353220 is 22353561.

165353220 is a `hidden beast` number, since 1 + 653 + 5 + 3 + 2 + 2 + 0 = 666.

165353220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 76842756 + 88510464 = 8766^2 + 9408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23959 + ... + 30078.

It is an arithmetic number, because the mean of its divisors is an integer number (7376187).

Almost surely, 2^165353220 is an apocalyptic number.

165353220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165353220 is an abundant number, since it is smaller than the sum of its proper divisors (365732244).

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

165353220 is a wasteful number, since it uses less digits than its factorization.

165353220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54069 (or 54064 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 165353220 is about 12858.9742981312. The cubic root of 165353220 is about 548.8717587930.

The spelling of 165353220 in words is "one hundred sixty-five million, three hundred fifty-three thousand, two hundred twenty".