42735673 has 2 divisors, whose sum is σ = 42735674. Its totient is φ = 42735672.

The previous prime is 42735619. The next prime is 42735691. The reversal of 42735673 is 37653724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22915369 + 19820304 = 4787^2 + 4452^2 .

It is a cyclic number.

It is not a de Polignac number, because 42735673 - 2¹³ = 42727481 is a prime.

It is not a weakly prime, because it can be changed into another prime (42745673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21367836 + 21367837.

It is an arithmetic number, because the mean of its divisors is an integer number (21367837).

Almost surely, 2^42735673 is an apocalyptic number.

It is an amenable number.

42735673 is a deficient number, since it is larger than the sum of its proper divisors (1).

42735673 is an equidigital number, since it uses as much as digits as its factorization.

42735673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105840, while the sum is 37.

The square root of 42735673 is about 6537.2527104281. The cubic root of 42735673 is about 349.6204675034.

It can be divided in two parts, 427 and 35673, that added together give a square (36100 = 190²).

The spelling of 42735673 in words is "forty-two million, seven hundred thirty-five thousand, six hundred seventy-three".