42735257 has 2 divisors, whose sum is σ = 42735258. Its totient is φ = 42735256.

The previous prime is 42735191. The next prime is 42735281. The reversal of 42735257 is 75253724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42133081 + 602176 = 6491^2 + 776^2 .

It is a cyclic number.

It is not a de Polignac number, because 42735257 - 2¹⁶ = 42669721 is a prime.

It is not a weakly prime, because it can be changed into another prime (42735157) 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, 21367628 + 21367629.

It is an arithmetic number, because the mean of its divisors is an integer number (21367629).

Almost surely, 2^42735257 is an apocalyptic number.

It is an amenable number.

42735257 is a deficient number, since it is larger than the sum of its proper divisors (1).

42735257 is an equidigital number, since it uses as much as digits as its factorization.

42735257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 58800, while the sum is 35.

The square root of 42735257 is about 6537.2208927036. The cubic root of 42735257 is about 349.6193330680.

The spelling of 42735257 in words is "forty-two million, seven hundred thirty-five thousand, two hundred fifty-seven".