4042593 has 12 divisors (see below), whose sum is σ = 5878548. Its totient is φ = 2676960.

The previous prime is 4042561. The next prime is 4042601. The reversal of 4042593 is 3952404.

4042593 is a `hidden beast` number, since 404 + 259 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 2331729 = 1308^2 + 1527^2 .

It is not a de Polignac number, because 4042593 - 2⁵ = 4042561 is a prime.

4042593 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4042523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (489879).

Almost surely, 2^4042593 is an apocalyptic number.

It is an amenable number.

4042593 is a deficient number, since it is larger than the sum of its proper divisors (1835955).

4042593 is a wasteful number, since it uses less digits than its factorization.

4042593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4042593 is about 2010.6200536153. The cubic root of 4042593 is about 159.3015518543.

Adding to 4042593 its reverse (3952404), we get a palindrome (7994997).

The spelling of 4042593 in words is "four million, forty-two thousand, five hundred ninety-three".