83982 has 8 divisors (see below), whose sum is σ = 167976. Its totient is φ = 27992.

The previous prime is 83969. The next prime is 83983. The reversal of 83982 is 28938.

83982 is nontrivially palindromic in base 13.

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

83982 is an admirable number.

83982 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6993 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (20997).

2⁸³⁹⁸² is an apocalyptic number.

83982 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83988).

83982 is a wasteful number, since it uses less digits than its factorization.

83982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14002.

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

The square root of 83982 is about 289.7964803099. The cubic root of 83982 is about 43.7920629475.

The spelling of 83982 in words is "eighty-three thousand, nine hundred eighty-two".