173997 has 6 divisors (see below), whose sum is σ = 251342. Its totient is φ = 115992.

The previous prime is 173993. The next prime is 174007. The reversal of 173997 is 799371.

It can be written as a sum of positive squares in only one way, i.e., 171396 + 2601 = 414^2 + 51^2 .

It is not a de Polignac number, because 173997 - 2² = 173993 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9658 + ... + 9675.

2¹⁷³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

173997 is a deficient number, since it is larger than the sum of its proper divisors (77345).

173997 is a wasteful number, since it uses less digits than its factorization.

173997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19339 (or 19336 counting only the distinct ones).

The product of its digits is 11907, while the sum is 36.

The square root of 173997 is about 417.1294763020. The cubic root of 173997 is about 55.8273808659.

The spelling of 173997 in words is "one hundred seventy-three thousand, nine hundred ninety-seven".