42116 has 6 divisors (see below), whose sum is σ = 73710. Its totient is φ = 21056.

The previous prime is 42101. The next prime is 42131. The reversal of 42116 is 61124.

It is an interprime number because it is at equal distance from previous prime (42101) and next prime (42131).

It can be written as a sum of positive squares in only one way, i.e., 40000 + 2116 = 200^2 + 46^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42116.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42116.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 5261 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2⁴²¹¹⁶ is an apocalyptic number.

It is an amenable number.

42116 is a deficient number, since it is larger than the sum of its proper divisors (31594).

42116 is a wasteful number, since it uses less digits than its factorization.

42116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10533 (or 10531 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 42116 is about 205.2218311974. The cubic root of 42116 is about 34.7922385474.

It can be divided in two parts, 4 and 2116, that multiplied together give a square (8464 = 92²).

The spelling of 42116 in words is "forty-two thousand, one hundred sixteen".