42706757 has 2 divisors, whose sum is σ = 42706758. Its totient is φ = 42706756.

The previous prime is 42706753. The next prime is 42706759. The reversal of 42706757 is 75760724.

42706757 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., 41977441 + 729316 = 6479^2 + 854^2 .

It is a cyclic number.

It is not a de Polignac number, because 42706757 - 2² = 42706753 is a prime.

Together with 42706759, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_2587952 and since 42706757 and 2587952 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42706757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42706753) 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, 21353378 + 21353379.

It is an arithmetic number, because the mean of its divisors is an integer number (21353379).

Almost surely, 2^42706757 is an apocalyptic number.

It is an amenable number.

42706757 is a deficient number, since it is larger than the sum of its proper divisors (1).

42706757 is an equidigital number, since it uses as much as digits as its factorization.

42706757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 42706757 is about 6535.0407037753. The cubic root of 42706757 is about 349.5415957964.

The spelling of 42706757 in words is "forty-two million, seven hundred six thousand, seven hundred fifty-seven".