472008193 has 2 divisors, whose sum is σ = 472008194. Its totient is φ = 472008192.

The previous prime is 472008167. The next prime is 472008209. The reversal of 472008193 is 391800274.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 464100849 + 7907344 = 21543^2 + 2812^2 .

It is a cyclic number.

It is not a de Polignac number, because 472008193 - 2⁹ = 472007681 is a prime.

It is not a weakly prime, because it can be changed into another prime (472008133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 236004096 + 236004097.

It is an arithmetic number, because the mean of its divisors is an integer number (236004097).

Almost surely, 2^472008193 is an apocalyptic number.

It is an amenable number.

472008193 is a deficient number, since it is larger than the sum of its proper divisors (1).

472008193 is an equidigital number, since it uses as much as digits as its factorization.

472008193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 472008193 is about 21725.7495382783. The cubic root of 472008193 is about 778.6037881372.

The spelling of 472008193 in words is "four hundred seventy-two million, eight thousand, one hundred ninety-three".