165438336 has 64 divisors (see below), whose sum is σ = 502231680. Its totient is φ = 47267328.

The previous prime is 165438313. The next prime is 165438337. The reversal of 165438336 is 633834561.

165438336 is digitally balanced in base 3, 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 165438294 and 165438303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165438337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28086 + ... + 33461.

It is an arithmetic number, because the mean of its divisors is an integer number (7847370).

Almost surely, 2^165438336 is an apocalyptic number.

165438336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165438336 is an abundant number, since it is smaller than the sum of its proper divisors (336793344).

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

165438336 is an equidigital number, since it uses as much as digits as its factorization.

165438336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61571 (or 61559 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 165438336 is about 12862.2834675652. The cubic root of 165438336 is about 548.9659203599.

The spelling of 165438336 in words is "one hundred sixty-five million, four hundred thirty-eight thousand, three hundred thirty-six".