82983 has 8 divisors (see below), whose sum is σ = 112000. Its totient is φ = 54648.

The previous prime is 82981. The next prime is 82997. The reversal of 82983 is 38928.

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

It is not a de Polignac number, because 82983 - 2¹ = 82981 is a prime.

It is a Duffinian number.

82983 is a lucky number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 82983.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82983.

It is not an unprimeable number, because it can be changed into a prime (82981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (14000).

2⁸²⁹⁸³ is an apocalyptic number.

82983 is a deficient number, since it is larger than the sum of its proper divisors (29017).

82983 is a wasteful number, since it uses less digits than its factorization.

82983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its digits is 3456, while the sum is 30.

The square root of 82983 is about 288.0677003761. The cubic root of 82983 is about 43.6177283907.

The spelling of 82983 in words is "eighty-two thousand, nine hundred eighty-three".