82812 has 24 divisors (see below), whose sum is σ = 198016. Its totient is φ = 26928.

The previous prime is 82811. The next prime is 82813. The reversal of 82812 is 21828.

It is an interprime number because it is at equal distance from previous prime (82811) and next prime (82813).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753 + ... + 855.

2⁸²⁸¹² is an apocalyptic number.

It is an amenable number.

82812 is an abundant number, since it is smaller than the sum of its proper divisors (115204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99008).

82812 is a wasteful number, since it uses less digits than its factorization.

82812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 82812 is about 287.7707420847. The cubic root of 82812 is about 43.5877473075.

The spelling of 82812 in words is "eighty-two thousand, eight hundred twelve".