82919 has 4 divisors (see below), whose sum is σ = 83496. Its totient is φ = 82344.

The previous prime is 82913. The next prime is 82939. The reversal of 82919 is 91928.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 82919 - 2⁴ = 82903 is a prime.

It is a super-2 number, since 2×82919² = 13751121122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82891 and 82900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (20874).

2⁸²⁹¹⁹ is an apocalyptic number.

82919 is a deficient number, since it is larger than the sum of its proper divisors (577).

82919 is a wasteful number, since it uses less digits than its factorization.

82919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576.

The product of its digits is 1296, while the sum is 29.

The square root of 82919 is about 287.9565939512. The cubic root of 82919 is about 43.6065122276.

Subtracting 82919 from its reverse (91928), we obtain a palindrome (9009).

It can be divided in two parts, 829 and 19, that multiplied together give a palindrome (15751).

The spelling of 82919 in words is "eighty-two thousand, nine hundred nineteen".