173993 has 2 divisors, whose sum is σ = 173994. Its totient is φ = 173992.

The previous prime is 173981. The next prime is 174007. The reversal of 173993 is 399371.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157609 + 16384 = 397^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 173993 - 2⁴ = 173977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (173923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86996 + 86997.

It is an arithmetic number, because the mean of its divisors is an integer number (86997).

2¹⁷³⁹⁹³ is an apocalyptic number.

It is an amenable number.

173993 is a deficient number, since it is larger than the sum of its proper divisors (1).

173993 is an equidigital number, since it uses as much as digits as its factorization.

173993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5103, while the sum is 32.

The square root of 173993 is about 417.1246816001. The cubic root of 173993 is about 55.8269530592.

The spelling of 173993 in words is "one hundred seventy-three thousand, nine hundred ninety-three".