42804953 has 2 divisors, whose sum is σ = 42804954. Its totient is φ = 42804952.

The previous prime is 42804947. The next prime is 42804959. The reversal of 42804953 is 35940824.

42804953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (42804947) and next prime (42804959).

It can be written as a sum of positive squares in only one way, i.e., 31326409 + 11478544 = 5597^2 + 3388^2 .

It is a cyclic number.

It is not a de Polignac number, because 42804953 - 2²⁴ = 26027737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (42804959) 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, 21402476 + 21402477.

It is an arithmetic number, because the mean of its divisors is an integer number (21402477).

Almost surely, 2^42804953 is an apocalyptic number.

It is an amenable number.

42804953 is a deficient number, since it is larger than the sum of its proper divisors (1).

42804953 is an equidigital number, since it uses as much as digits as its factorization.

42804953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 42804953 is about 6542.5494266379. The cubic root of 42804953 is about 349.8092920243.

The spelling of 42804953 in words is "forty-two million, eight hundred four thousand, nine hundred fifty-three".