42788261 has 2 divisors, whose sum is σ = 42788262. Its totient is φ = 42788260.

The previous prime is 42788237. The next prime is 42788279. The reversal of 42788261 is 16288724.

42788261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42172036 + 616225 = 6494^2 + 785^2 .

It is a cyclic number.

It is not a de Polignac number, because 42788261 - 2⁶ = 42788197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42788281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21394130 + 21394131.

It is an arithmetic number, because the mean of its divisors is an integer number (21394131).

Almost surely, 2^42788261 is an apocalyptic number.

It is an amenable number.

42788261 is a deficient number, since it is larger than the sum of its proper divisors (1).

42788261 is an equidigital number, since it uses as much as digits as its factorization.

42788261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43008, while the sum is 38.

The square root of 42788261 is about 6541.2736527377. The cubic root of 42788261 is about 349.7638161666.

It can be divided in two parts, 427 and 88261, that added together give a palindrome (88688).

The spelling of 42788261 in words is "forty-two million, seven hundred eighty-eight thousand, two hundred sixty-one".