83682 has 12 divisors (see below), whose sum is σ = 181350. Its totient is φ = 27888.

The previous prime is 83663. The next prime is 83689. The reversal of 83682 is 28638.

83682 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 47961 + 35721 = 219^2 + 189^2 .

It is not an unprimeable number, because it can be changed into a prime (83689) by changing a digit.

83682 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2307 + ... + 2342.

2⁸³⁶⁸² is an apocalyptic number.

83682 is an abundant number, since it is smaller than the sum of its proper divisors (97668).

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

83682 is a wasteful number, since it uses less digits than its factorization.

83682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4654 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 83682 is about 289.2784126063. The cubic root of 83682 is about 43.7398561516.

The spelling of 83682 in words is "eighty-three thousand, six hundred eighty-two".