173997792 has 72 divisors (see below), whose sum is σ = 510793920. Its totient is φ = 56125440.

The previous prime is 173997779. The next prime is 173997793. The reversal of 173997792 is 297799371.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173997793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 817 + ... + 18672.

It is an arithmetic number, because the mean of its divisors is an integer number (7094360).

Almost surely, 2^173997792 is an apocalyptic number.

173997792 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 173997792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255396960).

173997792 is an abundant number, since it is smaller than the sum of its proper divisors (336796128).

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

173997792 is a wasteful number, since it uses less digits than its factorization.

173997792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19536 (or 19525 counting only the distinct ones).

The product of its digits is 1500282, while the sum is 54.

The square root of 173997792 is about 13190.8222639834. The cubic root of 173997792 is about 558.2746557082.

The spelling of 173997792 in words is "one hundred seventy-three million, nine hundred ninety-seven thousand, seven hundred ninety-two".