172983 has 12 divisors (see below), whose sum is σ = 243320. Its totient is φ = 109296.

The previous prime is 172981. The next prime is 172987. The reversal of 172983 is 389271.

It is a happy number.

It is not a de Polignac number, because 172983 - 2¹ = 172981 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 172983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172981) 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 11 ways as a sum of consecutive naturals, for example, 1533 + ... + 1641.

2¹⁷²⁹⁸³ is an apocalyptic number.

172983 is a deficient number, since it is larger than the sum of its proper divisors (70337).

172983 is a wasteful number, since it uses less digits than its factorization.

172983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 172983 is about 415.9122503606. The cubic root of 172983 is about 55.7187213525.

The spelling of 172983 in words is "one hundred seventy-two thousand, nine hundred eighty-three".