42105841 has 2 divisors, whose sum is σ = 42105842. Its totient is φ = 42105840.

The previous prime is 42105827. The next prime is 42105851. The reversal of 42105841 is 14850124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36000000 + 6105841 = 6000^2 + 2471^2 .

It is a cyclic number.

It is not a de Polignac number, because 42105841 - 2¹⁷ = 41974769 is a prime.

It is not a weakly prime, because it can be changed into another prime (42105851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21052920 + 21052921.

It is an arithmetic number, because the mean of its divisors is an integer number (21052921).

Almost surely, 2^42105841 is an apocalyptic number.

It is an amenable number.

42105841 is a deficient number, since it is larger than the sum of its proper divisors (1).

42105841 is an equidigital number, since it uses as much as digits as its factorization.

42105841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 42105841 is about 6488.9013708023. The cubic root of 42105841 is about 347.8944085553.

Adding to 42105841 its product of nonzero digits (1280), we get a square (42107121 = 6489²).

Adding to 42105841 its reverse (14850124), we get a palindrome (56955965).

The spelling of 42105841 in words is "forty-two million, one hundred five thousand, eight hundred forty-one".