42073 has 2 divisors, whose sum is σ = 42074. Its totient is φ = 42072.

The previous prime is 42071. The next prime is 42083. The reversal of 42073 is 37024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24649 + 17424 = 157^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 42073 - 2¹ = 42071 is a prime.

Together with 42071, it forms a pair of twin primes.

42073 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21036 + 21037.

It is an arithmetic number, because the mean of its divisors is an integer number (21037).

2⁴²⁰⁷³ is an apocalyptic number.

It is an amenable number.

42073 is a deficient number, since it is larger than the sum of its proper divisors (1).

42073 is an equidigital number, since it uses as much as digits as its factorization.

42073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 42073 is about 205.1170397602. The cubic root of 42073 is about 34.7803936769.

Subtracting from 42073 its product of nonzero digits (168), we obtain a triangular number (41905 = T₂₈₉).

Adding to 42073 its reverse (37024), we get a palindrome (79097).

It can be divided in two parts, 4207 and 3, that multiplied together give a palindrome (12621).

The spelling of 42073 in words is "forty-two thousand, seventy-three", and thus it is an iban number.