165641112 has 240 divisors, whose sum is σ = 581990640. Its totient is φ = 42861312.

The previous prime is 165641093. The next prime is 165641129. The reversal of 165641112 is 211146561.

165641112 is a `hidden beast` number, since 1 + 6 + 5 + 641 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

165641112 is a Rhonda number in base 10.

Its product of digits (1440) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3125278 + ... + 3125330.

It is an arithmetic number, because the mean of its divisors is an integer number (2424961).

Almost surely, 2^165641112 is an apocalyptic number.

165641112 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 165641112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290995320).

165641112 is an abundant number, since it is smaller than the sum of its proper divisors (416349528).

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

165641112 is a wasteful number, since it uses less digits than its factorization.

165641112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 165641112 is about 12870.1636353234. The cubic root of 165641112 is about 549.1901160069.

Adding to 165641112 its reverse (211146561), we get a palindrome (376787673).

The spelling of 165641112 in words is "one hundred sixty-five million, six hundred forty-one thousand, one hundred twelve".