42210 has 48 divisors (see below), whose sum is σ = 127296. Its totient is φ = 9504.

The previous prime is 42209. The next prime is 42221. The reversal of 42210 is 1224.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42192 and 42201.

It is an unprimeable 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 in 23 ways as a sum of consecutive naturals, for example, 597 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (2652).

2⁴²²¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63648).

42210 is an abundant number, since it is smaller than the sum of its proper divisors (85086).

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

42210 is a wasteful number, since it uses less digits than its factorization.

42210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42210 is about 205.4507240192. The cubic root of 42210 is about 34.8181039373.

Adding to 42210 its reverse (1224), we get a palindrome (43434).

It can be divided in two parts, 42 and 210, that added together give a palindrome (252).

The spelling of 42210 in words is "forty-two thousand, two hundred ten", and thus it is an iban number.