442033 has 2 divisors, whose sum is σ = 442034. Its totient is φ = 442032.

The previous prime is 442031. The next prime is 442061. The reversal of 442033 is 330244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288369 + 153664 = 537^2 + 392^2 .

It is a cyclic number.

It is not a de Polignac number, because 442033 - 2¹ = 442031 is a prime.

Together with 442031, it forms a pair of twin primes.

442033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 441998 and 442016.

It is not a weakly prime, because it can be changed into another prime (442031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221016 + 221017.

It is an arithmetic number, because the mean of its divisors is an integer number (221017).

2⁴⁴²⁰³³ is an apocalyptic number.

It is an amenable number.

442033 is a deficient number, since it is larger than the sum of its proper divisors (1).

442033 is an equidigital number, since it uses as much as digits as its factorization.

442033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 442033 is about 664.8556234251. The cubic root of 442033 is about 76.1760117197.

Adding to 442033 its reverse (330244), we get a palindrome (772277).

The spelling of 442033 in words is "four hundred forty-two thousand, thirty-three".