42007813 has 2 divisors, whose sum is σ = 42007814. Its totient is φ = 42007812.

The previous prime is 42007807. The next prime is 42007831. The reversal of 42007813 is 31870024.

Together with next prime (42007831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23059204 + 18948609 = 4802^2 + 4353^2 .

It is a cyclic number.

It is not a de Polignac number, because 42007813 - 2⁵ = 42007781 is a prime.

It is equal to p_2548051 and since 42007813 and 2548051 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42007843) 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, 21003906 + 21003907.

It is an arithmetic number, because the mean of its divisors is an integer number (21003907).

Almost surely, 2^42007813 is an apocalyptic number.

It is an amenable number.

42007813 is a deficient number, since it is larger than the sum of its proper divisors (1).

42007813 is an equidigital number, since it uses as much as digits as its factorization.

42007813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 42007813 is about 6481.3434564140. The cubic root of 42007813 is about 347.6242172762.

Adding to 42007813 its reverse (31870024), we get a palindrome (73877837).

The spelling of 42007813 in words is "forty-two million, seven thousand, eight hundred thirteen".