442200193 has 2 divisors, whose sum is σ = 442200194. Its totient is φ = 442200192.

The previous prime is 442200173. The next prime is 442200217. The reversal of 442200193 is 391002244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 442176784 + 23409 = 21028^2 + 153^2 .

It is a cyclic number.

It is not a de Polignac number, because 442200193 - 2¹³ = 442192001 is a prime.

It is equal to p_23461324 and since 442200193 and 23461324 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (442200113) 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, 221100096 + 221100097.

It is an arithmetic number, because the mean of its divisors is an integer number (221100097).

Almost surely, 2^442200193 is an apocalyptic number.

It is an amenable number.

442200193 is a deficient number, since it is larger than the sum of its proper divisors (1).

442200193 is an equidigital number, since it uses as much as digits as its factorization.

442200193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 442200193 is about 21028.5566076229. The cubic root of 442200193 is about 761.8561469088.

The spelling of 442200193 in words is "four hundred forty-two million, two hundred thousand, one hundred ninety-three".