82819 has 4 divisors (see below), whose sum is σ = 90360. Its totient is φ = 75280.

The previous prime is 82813. The next prime is 82837. The reversal of 82819 is 91828.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 82819 - 2³ = 82811 is a prime.

It is a super-2 number, since 2×82819² = 13717973522, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82811) 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, 3754 + ... + 3775.

It is an arithmetic number, because the mean of its divisors is an integer number (22590).

2⁸²⁸¹⁹ is an apocalyptic number.

82819 is a deficient number, since it is larger than the sum of its proper divisors (7541).

82819 is a wasteful number, since it uses less digits than its factorization.

82819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540.

The product of its digits is 1152, while the sum is 28.

The square root of 82819 is about 287.7829042872. The cubic root of 82819 is about 43.5889754131.

Subtracting 82819 from its reverse (91828), we obtain a palindrome (9009).

It can be divided in two parts, 8281 and 9, that multiplied together give a square (74529 = 273²).

The spelling of 82819 in words is "eighty-two thousand, eight hundred nineteen".