442753 has 2 divisors, whose sum is σ = 442754. Its totient is φ = 442752.

The previous prime is 442747. The next prime is 442763. The reversal of 442753 is 357244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223729 + 219024 = 473^2 + 468^2 .

It is a cyclic number.

It is not a de Polignac number, because 442753 - 2⁵ = 442721 is a prime.

It is a d-powerful number, because it can be written as 4⁴ + 4⁹ + 7² + 2⁵ + 5⁵ + 3¹¹ .

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (442703) 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, 221376 + 221377.

It is an arithmetic number, because the mean of its divisors is an integer number (221377).

2⁴⁴²⁷⁵³ is an apocalyptic number.

It is an amenable number.

442753 is a deficient number, since it is larger than the sum of its proper divisors (1).

442753 is an equidigital number, since it uses as much as digits as its factorization.

442753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 25.

The square root of 442753 is about 665.3968740534. The cubic root of 442753 is about 76.2173487364.

Adding to 442753 its reverse (357244), we get a palindrome (799997).

The spelling of 442753 in words is "four hundred forty-two thousand, seven hundred fifty-three".