42114 has 8 divisors (see below), whose sum is σ = 84240. Its totient is φ = 14036.

The previous prime is 42101. The next prime is 42131. The reversal of 42114 is 41124.

It is a sphenic number, since it is the product of 3 distinct primes.

42114 is an admirable number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42114.

It is an unprimeable number.

42114 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3504 + ... + 3515.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2⁴²¹¹⁴ is an apocalyptic number.

42114 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (42120).

42114 is a wasteful number, since it uses less digits than its factorization.

42114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024.

The product of its digits is 32, while the sum is 12.

The square root of 42114 is about 205.2169583636. The cubic root of 42114 is about 34.7916878020.

Adding to 42114 its reverse (41124), we get a palindrome (83238).

Subtracting from 42114 its reverse (41124), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 421 and 14, that added together give a triangular number (435 = T₂₉).

The spelling of 42114 in words is "forty-two thousand, one hundred fourteen", and thus it is an iban number.