165845248 has 36 divisors (see below), whose sum is σ = 340009180. Its totient is φ = 80676864.

The previous prime is 165845227. The next prime is 165845261. The reversal of 165845248 is 842548561.

165845248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61968384 + 103876864 = 7872^2 + 10192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 718 + ... + 18226.

Almost surely, 2^165845248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170004590).

165845248 is an abundant number, since it is smaller than the sum of its proper divisors (174163932).

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

165845248 is an equidigital number, since it uses as much as digits as its factorization.

165845248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17562 (or 17548 counting only the distinct ones).

The product of its digits is 307200, while the sum is 43.

The square root of 165845248 is about 12878.0917841115. The cubic root of 165845248 is about 549.4156305730.

The spelling of 165845248 in words is "one hundred sixty-five million, eight hundred forty-five thousand, two hundred forty-eight".