42593 has 4 divisors (see below), whose sum is σ = 43008. Its totient is φ = 42180.

The previous prime is 42589. The next prime is 42611. The reversal of 42593 is 39524.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 42593 - 2² = 42589 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42593.

It is not an unprimeable number, because it can be changed into a prime (42533) 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 in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2⁴²⁵⁹³ is an apocalyptic number.

It is an amenable number.

42593 is a deficient number, since it is larger than the sum of its proper divisors (415).

42593 is a wasteful number, since it uses less digits than its factorization.

42593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its digits is 1080, while the sum is 23.

The square root of 42593 is about 206.3807161534. The cubic root of 42593 is about 34.9230964540.

The spelling of 42593 in words is "forty-two thousand, five hundred ninety-three".