171983 has 8 divisors (see below), whose sum is σ = 199680. Its totient is φ = 145080.

The previous prime is 171947. The next prime is 172001. The reversal of 171983 is 389171.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 171983 - 2¹² = 167887 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 (171923) 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, 398 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (24960).

2¹⁷¹⁹⁸³ is an apocalyptic number.

171983 is a deficient number, since it is larger than the sum of its proper divisors (27697).

171983 is an equidigital number, since it uses as much as digits as its factorization.

171983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its digits is 1512, while the sum is 29.

The square root of 171983 is about 414.7083312402. The cubic root of 171983 is about 55.6111453943.

The spelling of 171983 in words is "one hundred seventy-one thousand, nine hundred eighty-three".