42648701 has 2 divisors, whose sum is σ = 42648702. Its totient is φ = 42648700.

The previous prime is 42648691. The next prime is 42648707. The reversal of 42648701 is 10784624.

42648701 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., 42588676 + 60025 = 6526^2 + 245^2 .

It is a cyclic number.

It is not a de Polignac number, because 42648701 - 2¹⁰ = 42647677 is a prime.

It is a super-3 number, since 3×42648701³ (a number of 24 digits) contains 333 as substring.

It is equal to p_2584607 and since 42648701 and 2584607 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42648707) 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, 21324350 + 21324351.

It is an arithmetic number, because the mean of its divisors is an integer number (21324351).

Almost surely, 2^42648701 is an apocalyptic number.

It is an amenable number.

42648701 is a deficient number, since it is larger than the sum of its proper divisors (1).

42648701 is an equidigital number, since it uses as much as digits as its factorization.

42648701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 42648701 is about 6530.5972927444. The cubic root of 42648701 is about 349.3831338358.

The spelling of 42648701 in words is "forty-two million, six hundred forty-eight thousand, seven hundred one".