42810 has 16 divisors (see below), whose sum is σ = 102816. Its totient is φ = 11408.

The previous prime is 42797. The next prime is 42821. The reversal of 42810 is 1824.

42810 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×42810² = 3665392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

42810 is an undulating number in base 9.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 42810.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (6426).

2⁴²⁸¹⁰ is an apocalyptic number.

42810 is an abundant number, since it is smaller than the sum of its proper divisors (60006).

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 (51408).

42810 is a wasteful number, since it uses less digits than its factorization.

42810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42810 is about 206.9057756565. The cubic root of 42810 is about 34.9823039796.

The spelling of 42810 in words is "forty-two thousand, eight hundred ten".