82828 has 6 divisors (see below), whose sum is σ = 144956. Its totient is φ = 41412.

The previous prime is 82813. The next prime is 82837.

82828 is nontrivially palindromic in base 10.

82828 is an undulating number in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82796 and 82805.

It is an unprimeable number.

82828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 10350 + ... + 10357.

2⁸²⁸²⁸ is an apocalyptic number.

It is an amenable number.

82828 is a deficient number, since it is larger than the sum of its proper divisors (62128).

82828 is a wasteful number, since it uses less digits than its factorization.

82828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20711 (or 20709 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 82828 is about 287.7985406495. The cubic root of 82828 is about 43.5905543043.

It can be divided in two parts, 82 and 828, that multiplied together give a triangular number (67896 = T₃₆₈).

The spelling of 82828 in words is "eighty-two thousand, eight hundred twenty-eight".