165219984 has 60 divisors (see below), whose sum is σ = 466751376. Its totient is φ = 54553536.

The previous prime is 165219973. The next prime is 165220007. The reversal of 165219984 is 489912561.

It is a super-2 number, since 2×165219984² = 54595286225920512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10047 + ... + 20769.

Almost surely, 2^165219984 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 165219984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233375688).

165219984 is an abundant number, since it is smaller than the sum of its proper divisors (301531392).

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

165219984 is a wasteful number, since it uses less digits than its factorization.

165219984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10844 (or 10835 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 165219984 is about 12853.7925920718. The cubic root of 165219984 is about 548.7242984488.

The spelling of 165219984 in words is "one hundred sixty-five million, two hundred nineteen thousand, nine hundred eighty-four".