165364332 has 48 divisors (see below), whose sum is σ = 443815680. Its totient is φ = 46942272.

The previous prime is 165364307. The next prime is 165364333. The reversal of 165364332 is 233463561.

165364332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165364293 and 165364302.

It is not an unprimeable number, because it can be changed into a prime (165364333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6919 + ... + 19457.

It is an arithmetic number, because the mean of its divisors is an integer number (9246160).

Almost surely, 2^165364332 is an apocalyptic number.

165364332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165364332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221907840).

165364332 is an abundant number, since it is smaller than the sum of its proper divisors (278451348).

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

165364332 is a wasteful number, since it uses less digits than its factorization.

165364332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12710 (or 12708 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 165364332 is about 12859.4063626592. The cubic root of 165364332 is about 548.8840535366.

The spelling of 165364332 in words is "one hundred sixty-five million, three hundred sixty-four thousand, three hundred thirty-two".