42805757 has 2 divisors, whose sum is σ = 42805758. Its totient is φ = 42805756.

The previous prime is 42805753. The next prime is 42805759. The reversal of 42805757 is 75750824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40691641 + 2114116 = 6379^2 + 1454^2 .

It is a cyclic number.

It is not a de Polignac number, because 42805757 - 2² = 42805753 is a prime.

Together with 42805759, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_2593577 and since 42805757 and 2593577 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 42805757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42805751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21402878 + 21402879.

It is an arithmetic number, because the mean of its divisors is an integer number (21402879).

Almost surely, 2^42805757 is an apocalyptic number.

It is an amenable number.

42805757 is a deficient number, since it is larger than the sum of its proper divisors (1).

42805757 is an equidigital number, since it uses as much as digits as its factorization.

42805757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 42805757 is about 6542.6108702872. The cubic root of 42805757 is about 349.8114821518.

The spelling of 42805757 in words is "forty-two million, eight hundred five thousand, seven hundred fifty-seven".