442006657 has 2 divisors, whose sum is σ = 442006658. Its totient is φ = 442006656.

The previous prime is 442006639. The next prime is 442006693. The reversal of 442006657 is 756600244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 439153936 + 2852721 = 20956^2 + 1689^2 .

It is a cyclic number.

It is not a de Polignac number, because 442006657 - 2⁷ = 442006529 is a prime.

It is not a weakly prime, because it can be changed into another prime (442016657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221003328 + 221003329.

It is an arithmetic number, because the mean of its divisors is an integer number (221003329).

Almost surely, 2^442006657 is an apocalyptic number.

It is an amenable number.

442006657 is a deficient number, since it is larger than the sum of its proper divisors (1).

442006657 is an equidigital number, since it uses as much as digits as its factorization.

442006657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 442006657 is about 21023.9543616324. The cubic root of 442006657 is about 761.7449845065.

The spelling of 442006657 in words is "four hundred forty-two million, six thousand, six hundred fifty-seven".