173983120 has 40 divisors (see below), whose sum is σ = 405119160. Its totient is φ = 69488640.

The previous prime is 173983087. The next prime is 173983127. The reversal of 173983120 is 21389371.

It can be written as a sum of positive squares in 4 ways, for example, as 1008016 + 172975104 = 1004^2 + 13152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (173983127) by changing a digit.

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, 73150 + ... + 75490.

It is an arithmetic number, because the mean of its divisors is an integer number (10127979).

Almost surely, 2^173983120 is an apocalyptic number.

173983120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

173983120 is an abundant number, since it is smaller than the sum of its proper divisors (231136040).

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

173983120 is a wasteful number, since it uses less digits than its factorization.

173983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 173983120 is about 13190.2661080056. The cubic root of 173983120 is about 558.2589634861.

The spelling of 173983120 in words is "one hundred seventy-three million, nine hundred eighty-three thousand, one hundred twenty".