42073921 has 8 divisors (see below), whose sum is σ = 43369704. Its totient is φ = 40786560.

The previous prime is 42073919. The next prime is 42073931. The reversal of 42073921 is 12937024.

42073921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28302400 + 13771521 = 5320^2 + 3711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42073921 - 2¹ = 42073919 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42073921.

It is not an unprimeable number, because it can be changed into a prime (42073901) 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 in 7 ways as a sum of consecutive naturals, for example, 8901 + ... + 12781.

It is an arithmetic number, because the mean of its divisors is an integer number (5421213).

Almost surely, 2^42073921 is an apocalyptic number.

It is an amenable number.

42073921 is a deficient number, since it is larger than the sum of its proper divisors (1295783).

42073921 is a wasteful number, since it uses less digits than its factorization.

42073921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 42073921 is about 6486.4413201693. The cubic root of 42073921 is about 347.8064746204.

It can be divided in two parts, 4207 and 3921, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 42073921 in words is "forty-two million, seventy-three thousand, nine hundred twenty-one".