165838530 has 256 divisors, whose sum is σ = 510935040. Its totient is φ = 33868800.

The previous prime is 165838523. The next prime is 165838571. The reversal of 165838530 is 35838561.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3856689 + ... + 3856731.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^165838530 is an apocalyptic number.

165838530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165838530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

165838530 is an abundant number, since it is smaller than the sum of its proper divisors (345096510).

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

165838530 is a wasteful number, since it uses less digits than its factorization.

165838530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 165838530 is about 12877.8309509016. The cubic root of 165838530 is about 549.4082119622.

The spelling of 165838530 in words is "one hundred sixty-five million, eight hundred thirty-eight thousand, five hundred thirty".