Search a number
42373 is a prime number

42373 has 2 divisors, whose sum is σ = 42374. Its totient is φ = 42372.

The previous prime is 42359. The next prime is 42379. The reversal of 42373 is 37324.

Adding to 42373 its reverse (37324), we get a palindrome (79697).

It can be divided in two parts, 423 and 73, that added together give a triangular number (496 = T31).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 16129 = 162^2 + 127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42373 is a prime.

It is a super-2 number, since 2×423732 = 3590942258, which contains 22 as substring.

42373 is a lucky number.

It is equal to p4429 and since 42373 and 4429 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 42373.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42379) 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, 21186 + 21187.

It is an arithmetic number, because the mean of its divisors is an integer number (21187).

242373 is an apocalyptic number.

It is an amenable number.

42373 is a deficient number, since it is larger than the sum of its proper divisors (1).

42373 is an equidigital number, since it uses as much as digits as its factorization.

42373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 19.

The square root of 42373 is about 205.8470305834. The cubic root of 42373 is about 34.8628647458.

The spelling of 42373 in words is "forty-two thousand, three hundred seventy-three", and thus it is an iban number.