165338208 has 72 divisors (see below), whose sum is σ = 537355728. Its totient is φ = 47238912.

The previous prime is 165338203. The next prime is 165338233. The reversal of 165338208 is 802833561.

165338208 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165338203) 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, 38991 + ... + 43022.

It is an arithmetic number, because the mean of its divisors is an integer number (7463274).

Almost surely, 2^165338208 is an apocalyptic number.

165338208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

165338208 is an abundant number, since it is smaller than the sum of its proper divisors (372017520).

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

165338208 is a wasteful number, since it uses less digits than its factorization.

165338208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82036 (or 82025 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 165338208 is about 12858.3905680299. The cubic root of 165338208 is about 548.8551480647.

The spelling of 165338208 in words is "one hundred sixty-five million, three hundred thirty-eight thousand, two hundred eight".