165218832 has 80 divisors (see below), whose sum is σ = 499224000. Its totient is φ = 52171776.

The previous prime is 165218831. The next prime is 165218843. The reversal of 165218832 is 238812561.

It is a happy number.

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 (165218831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857 + ... + 18272.

It is an arithmetic number, because the mean of its divisors is an integer number (6240300).

Almost surely, 2^165218832 is an apocalyptic number.

165218832 is a gapful number since it is divisible by the number (12) 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 165218832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249612000).

165218832 is an abundant number, since it is smaller than the sum of its proper divisors (334005168).

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

165218832 is a wasteful number, since it uses less digits than its factorization.

165218832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20165 (or 20153 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 165218832 is about 12853.7477803168. The cubic root of 165218832 is about 548.7230231150.

The spelling of 165218832 in words is "one hundred sixty-five million, two hundred eighteen thousand, eight hundred thirty-two".