165983824 has 40 divisors (see below), whose sum is σ = 336764160. Its totient is φ = 79102848.

The previous prime is 165983803. The next prime is 165983833. The reversal of 165983824 is 428389561.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134442 + ... + 135670.

It is an arithmetic number, because the mean of its divisors is an integer number (8419104).

Almost surely, 2^165983824 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 165983824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168382080).

165983824 is an abundant number, since it is smaller than the sum of its proper divisors (170780336).

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

165983824 is a wasteful number, since it uses less digits than its factorization.

165983824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 165983824 is about 12883.4709608863. The cubic root of 165983824 is about 549.5686138018.

The spelling of 165983824 in words is "one hundred sixty-five million, nine hundred eighty-three thousand, eight hundred twenty-four".