165664332 has 48 divisors (see below), whose sum is σ = 430617600. Its totient is φ = 55077840.

The previous prime is 165664319. The next prime is 165664357. The reversal of 165664332 is 233466561.

165664332 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 643 + 3 + 2 = 666.

165664332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×165664332³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44769 + ... + 48327.

It is an arithmetic number, because the mean of its divisors is an integer number (8971200).

Almost surely, 2^165664332 is an apocalyptic number.

165664332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165664332 is an abundant number, since it is smaller than the sum of its proper divisors (264953268).

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

165664332 is a wasteful number, since it uses less digits than its factorization.

165664332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3995 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 165664332 is about 12871.0656901439. The cubic root of 165664332 is about 549.2157771054.

The spelling of 165664332 in words is "one hundred sixty-five million, six hundred sixty-four thousand, three hundred thirty-two".