42406541 has 2 divisors, whose sum is σ = 42406542. Its totient is φ = 42406540.

The previous prime is 42406531. The next prime is 42406547. The reversal of 42406541 is 14560424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41550916 + 855625 = 6446^2 + 925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42406541 is a prime.

It is a super-3 number, since 3×42406541³ (a number of 24 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

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 42406541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42406547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21203270 + 21203271.

It is an arithmetic number, because the mean of its divisors is an integer number (21203271).

Almost surely, 2^42406541 is an apocalyptic number.

It is an amenable number.

42406541 is a deficient number, since it is larger than the sum of its proper divisors (1).

42406541 is an equidigital number, since it uses as much as digits as its factorization.

42406541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 42406541 is about 6512.0304821154. The cubic root of 42406541 is about 348.7206106536.

Adding to 42406541 its reverse (14560424), we get a palindrome (56966965).

The spelling of 42406541 in words is "forty-two million, four hundred six thousand, five hundred forty-one".