82113 has 8 divisors (see below), whose sum is σ = 110976. Its totient is φ = 54000.

The previous prime is 82073. The next prime is 82129. The reversal of 82113 is 31128.

It is a happy number.

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

It is not a de Polignac number, because 82113 - 2¹² = 78017 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 82092 and 82101.

It is not an unprimeable number, because it can be changed into a prime (82153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (13872).

2⁸²¹¹³ is an apocalyptic number.

It is an amenable number.

82113 is a deficient number, since it is larger than the sum of its proper divisors (28863).

82113 is a wasteful number, since it uses less digits than its factorization.

82113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its digits is 48, while the sum is 15.

The square root of 82113 is about 286.5536598964. The cubic root of 82113 is about 43.4647620558.

Adding to 82113 its sum of digits (15), we get a palindrome (82128).

The spelling of 82113 in words is "eighty-two thousand, one hundred thirteen".