42812 has 24 divisors (see below), whose sum is σ = 94080. Its totient is φ = 16560.

The previous prime is 42797. The next prime is 42821. The reversal of 42812 is 21824.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

42812 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

2⁴²⁸¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47040).

42812 is an abundant number, since it is smaller than the sum of its proper divisors (51268).

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

42812 is a wasteful number, since it uses less digits than its factorization.

42812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 42812 is about 206.9106087179. The cubic root of 42812 is about 34.9828487395.

The spelling of 42812 in words is "forty-two thousand, eight hundred twelve".