42113 has 4 divisors (see below), whose sum is σ = 43968. Its totient is φ = 40260.

The previous prime is 42101. The next prime is 42131. The reversal of 42113 is 31124.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42094 and 42103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42113.

It is not an unprimeable number, because it can be changed into a prime (42193) by changing a digit.

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, 893 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (10992).

2⁴²¹¹³ is an apocalyptic number.

It is an amenable number.

42113 is a deficient number, since it is larger than the sum of its proper divisors (1855).

42113 is a wasteful number, since it uses less digits than its factorization.

42113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854.

The product of its digits is 24, while the sum is 11.

The square root of 42113 is about 205.2145219033. The cubic root of 42113 is about 34.7914124228.

Adding to 42113 its sum of digits (11), we get a palindrome (42124).

Adding to 42113 its reverse (31124), we get a palindrome (73237).

It can be divided in two parts, 421 and 13, that added together give a palindrome (434).

The spelling of 42113 in words is "forty-two thousand, one hundred thirteen".