42681973 has 2 divisors, whose sum is σ = 42681974. Its totient is φ = 42681972.

The previous prime is 42681971. The next prime is 42681983. The reversal of 42681973 is 37918624.

42681973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39664804 + 3017169 = 6298^2 + 1737^2 .

It is a cyclic number.

It is not a de Polignac number, because 42681973 - 2¹ = 42681971 is a prime.

Together with 42681971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42681971) 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, 21340986 + 21340987.

It is an arithmetic number, because the mean of its divisors is an integer number (21340987).

Almost surely, 2^42681973 is an apocalyptic number.

It is an amenable number.

42681973 is a deficient number, since it is larger than the sum of its proper divisors (1).

42681973 is an equidigital number, since it uses as much as digits as its factorization.

42681973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 40.

The square root of 42681973 is about 6533.1441894390. The cubic root of 42681973 is about 349.4739662544.

It can be divided in two parts, 4268 and 1973, that added together give a square (6241 = 79²).

The spelling of 42681973 in words is "forty-two million, six hundred eighty-one thousand, nine hundred seventy-three".