165982208 has 78 divisors (see below), whose sum is σ = 386582436. Its totient is φ = 71049216.

The previous prime is 165982207. The next prime is 165982211. The reversal of 165982208 is 802289561.

It is not an unprimeable number, because it can be changed into a prime (165982207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200291 + ... + 201117.

Almost surely, 2^165982208 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 165982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193291218).

165982208 is an abundant number, since it is smaller than the sum of its proper divisors (220600228).

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

165982208 is an frugal number, since it uses more digits than its factorization.

165982208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 165982208 is about 12883.4082447154. The cubic root of 165982208 is about 549.5668302831.

The spelling of 165982208 in words is "one hundred sixty-five million, nine hundred eighty-two thousand, two hundred eight".