82829 has 4 divisors (see below), whose sum is σ = 83676. Its totient is φ = 81984.

The previous prime is 82813. The next prime is 82837. The reversal of 82829 is 92828.

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 can be written as a sum of positive squares in 2 ways, for example, as 40804 + 42025 = 202^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 82829 - 2⁴ = 82813 is a prime.

It is a magnanimous number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82889) 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, 254 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (20919).

2⁸²⁸²⁹ is an apocalyptic number.

It is an amenable number.

82829 is a deficient number, since it is larger than the sum of its proper divisors (847).

82829 is a wasteful number, since it uses less digits than its factorization.

82829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846.

The product of its digits is 2304, while the sum is 29.

The square root of 82829 is about 287.8002779707. The cubic root of 82829 is about 43.5907297296.

Subtracting 82829 from its reverse (92828), we obtain a palindrome (9999).

The spelling of 82829 in words is "eighty-two thousand, eight hundred twenty-nine".