165009852 has 72 divisors (see below), whose sum is σ = 497664720. Its totient is φ = 47144160.

The previous prime is 165009833. The next prime is 165009853. The reversal of 165009852 is 258900561.

It is a happy number.

165009852 is a `hidden beast` number, since 16 + 500 + 98 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165009853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10299 + ... + 20882.

It is an arithmetic number, because the mean of its divisors is an integer number (6912010).

Almost surely, 2^165009852 is an apocalyptic number.

165009852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165009852 is an abundant number, since it is smaller than the sum of its proper divisors (332654868).

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

165009852 is a wasteful number, since it uses less digits than its factorization.

165009852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31208 (or 31193 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 165009852 is about 12845.6160615208. The cubic root of 165009852 is about 548.4915714531.

The spelling of 165009852 in words is "one hundred sixty-five million, nine thousand, eight hundred fifty-two".