42293 has 2 divisors, whose sum is σ = 42294. Its totient is φ = 42292.

The previous prime is 42283. The next prime is 42299. The reversal of 42293 is 39224.

42293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 10609 = 178^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 42293 - 2¹⁰ = 41269 is a prime.

It is a plaindrome in base 14.

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 42293.

It is not a weakly prime, because it can be changed into another prime (42299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21146 + 21147.

It is an arithmetic number, because the mean of its divisors is an integer number (21147).

2⁴²²⁹³ is an apocalyptic number.

It is an amenable number.

42293 is a deficient number, since it is larger than the sum of its proper divisors (1).

42293 is an equidigital number, since it uses as much as digits as its factorization.

42293 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 20.

The square root of 42293 is about 205.6526197256. The cubic root of 42293 is about 34.8409106221.

It can be divided in two parts, 422 and 93, that added together give a palindrome (515).

The spelling of 42293 in words is "forty-two thousand, two hundred ninety-three".