165328164 has 27 divisors (see below), whose sum is σ = 418107963. Its totient is φ = 55083672.

The previous prime is 165328151. The next prime is 165328171. The reversal of 165328164 is 461823561.

It is a happy number.

The square root of 165328164 is 12858.

It is a perfect power (a square), and thus also a powerful number.

165328164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165328164² = 54666803623221792, which contains 22 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 polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76077 + ... + 78219.

Almost surely, 2^165328164 is an apocalyptic number.

165328164 is the 12858-th square number.

It is an amenable number.

165328164 is an abundant number, since it is smaller than the sum of its proper divisors (252779799).

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

165328164 is an equidigital number, since it uses as much as digits as its factorization.

165328164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 2148 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 165328164 is about 548.8440338506.

Multiplying 165328164 by its sum of digits (36), we get a square (5951813904 = 77148²).

165328164 divided by its sum of digits (36) gives a square (4592449 = 2143²).

It can be divided in two parts, 165 and 328164, that added together give a square (328329 = 573²).

The spelling of 165328164 in words is "one hundred sixty-five million, three hundred twenty-eight thousand, one hundred sixty-four".