82813 has 2 divisors, whose sum is σ = 82814. Its totient is φ = 82812.

The previous prime is 82811. The next prime is 82837. The reversal of 82813 is 31828.

82813 is nontrivially palindromic in base 3.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76729 + 6084 = 277^2 + 78^2 .

It is a cyclic number.

It is not a de Polignac number, because 82813 - 2¹ = 82811 is a prime.

Together with 82811, it forms a pair of twin primes.

It is equal to p₈₀₉₅ and since 82813 and 8095 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41406 + 41407.

It is an arithmetic number, because the mean of its divisors is an integer number (41407).

2⁸²⁸¹³ is an apocalyptic number.

It is an amenable number.

82813 is a deficient number, since it is larger than the sum of its proper divisors (1).

82813 is an equidigital number, since it uses as much as digits as its factorization.

82813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 22.

The square root of 82813 is about 287.7724795737. The cubic root of 82813 is about 43.5879227554.

It can be divided in two parts, 828 and 13, that added together give a square (841 = 29²).

The spelling of 82813 in words is "eighty-two thousand, eight hundred thirteen".