82014 has 8 divisors (see below), whose sum is σ = 164040. Its totient is φ = 27336.

The previous prime is 82013. The next prime is 82021. The reversal of 82014 is 41028.

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

82014 is an admirable number.

It is a plaindrome in base 9 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 81984 and 82002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82013) 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 3 ways as a sum of consecutive naturals, for example, 6829 + ... + 6840.

It is an arithmetic number, because the mean of its divisors is an integer number (20505).

2⁸²⁰¹⁴ is an apocalyptic number.

82014 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 (82020).

82014 is a wasteful number, since it uses less digits than its factorization.

82014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13674.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82014 is about 286.3808652826. The cubic root of 82014 is about 43.4472871861.

The spelling of 82014 in words is "eighty-two thousand, fourteen".