42014 has 8 divisors (see below), whose sum is σ = 72048. Its totient is φ = 18000.

The previous prime is 42013. The next prime is 42017. The reversal of 42014 is 41024.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 41986 and 42004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1487 + ... + 1514.

It is an arithmetic number, because the mean of its divisors is an integer number (9006).

2⁴²⁰¹⁴ is an apocalyptic number.

42014 is a deficient number, since it is larger than the sum of its proper divisors (30034).

42014 is a wasteful number, since it uses less digits than its factorization.

42014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010.

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42014 is about 204.9731689758. The cubic root of 42014 is about 34.7641282716.

Adding to 42014 its sum of digits (11), we get a square (42025 = 205²).

Adding to 42014 its reverse (41024), we get a palindrome (83038).

Subtracting from 42014 its reverse (41024), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 420 and 14, that added together give a palindrome (434).

The spelling of 42014 in words is "forty-two thousand, fourteen", and thus it is an iban number.