165433248 has 72 divisors (see below), whose sum is σ = 474259968. Its totient is φ = 54698112.

The previous prime is 165433241. The next prime is 165433249. The reversal of 165433248 is 842334561.

165433248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (165433241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34315 + ... + 38837.

It is an arithmetic number, because the mean of its divisors is an integer number (6586944).

Almost surely, 2^165433248 is an apocalyptic number.

165433248 is a gapful number since it is divisible by the number (18) 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 165433248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237129984).

165433248 is an abundant number, since it is smaller than the sum of its proper divisors (308826720).

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

165433248 is a wasteful number, since it uses less digits than its factorization.

165433248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4655 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 165433248 is about 12862.0856784582. The cubic root of 165433248 is about 548.9602925485.

It can be divided in two parts, 16543 and 3248, that added together give a palindrome (19791).

The spelling of 165433248 in words is "one hundred sixty-five million, four hundred thirty-three thousand, two hundred forty-eight".