165982432 has 192 divisors, whose sum is σ = 438939648. Its totient is φ = 59904000.

The previous prime is 165982429. The next prime is 165982433. The reversal of 165982432 is 234289561.

165982432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165982433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3131718 + ... + 3131770.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 2^165982432 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 165982432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219469824).

165982432 is an abundant number, since it is smaller than the sum of its proper divisors (272957216).

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

165982432 is a wasteful number, since it uses less digits than its factorization.

165982432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 165982432 is about 12883.4169380642. The cubic root of 165982432 is about 549.5670775042.

The spelling of 165982432 in words is "one hundred sixty-five million, nine hundred eighty-two thousand, four hundred thirty-two".