165168330 has 96 divisors (see below), whose sum is σ = 425305728. Its totient is φ = 41040000.

The previous prime is 165168329. The next prime is 165168331. The reversal of 165168330 is 33861561.

It is an interprime number because it is at equal distance from previous prime (165168329) and next prime (165168331).

It is a junction number, because it is equal to n+sod(n) for n = 165168291 and 165168300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165168331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093755 + ... + 1093905.

It is an arithmetic number, because the mean of its divisors is an integer number (4430268).

Almost surely, 2^165168330 is an apocalyptic number.

165168330 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 165168330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212652864).

165168330 is an abundant number, since it is smaller than the sum of its proper divisors (260137398).

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

165168330 is a wasteful number, since it uses less digits than its factorization.

165168330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 165168330 is about 12851.7831447624. The cubic root of 165168330 is about 548.6671085163.

The spelling of 165168330 in words is "one hundred sixty-five million, one hundred sixty-eight thousand, three hundred thirty".