165345516 has 48 divisors (see below), whose sum is σ = 489914880. Its totient is φ = 47241360.

The previous prime is 165345503. The next prime is 165345517. The reversal of 165345516 is 615543561.

It is a super-2 number, since 2×165345516² = 54678279322612512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (165345517) 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 15 ways as a sum of consecutive naturals, for example, 108600 + ... + 110111.

It is an arithmetic number, because the mean of its divisors is an integer number (10206560).

Almost surely, 2^165345516 is an apocalyptic number.

It is an amenable number.

165345516 is an abundant number, since it is smaller than the sum of its proper divisors (324569364).

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

165345516 is a wasteful number, since it uses less digits than its factorization.

165345516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218731 (or 218723 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 165345516 is about 12858.6747373126. The cubic root of 165345516 is about 548.8632344681.

It can be divided in two parts, 1653455 and 16, that added together give a triangular number (1653471 = T₁₈₁₈).

The spelling of 165345516 in words is "one hundred sixty-five million, three hundred forty-five thousand, five hundred sixteen".