413772193 has 2 divisors, whose sum is σ = 413772194. Its totient is φ = 413772192.

The previous prime is 413772157. The next prime is 413772199. The reversal of 413772193 is 391277314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248598289 + 165173904 = 15767^2 + 12852^2 .

It is a cyclic number.

It is not a de Polignac number, because 413772193 - 2²¹ = 411675041 is a prime.

It is not a weakly prime, because it can be changed into another prime (413772199) 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, 206886096 + 206886097.

It is an arithmetic number, because the mean of its divisors is an integer number (206886097).

Almost surely, 2^413772193 is an apocalyptic number.

It is an amenable number.

413772193 is a deficient number, since it is larger than the sum of its proper divisors (1).

413772193 is an equidigital number, since it uses as much as digits as its factorization.

413772193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 37.

The square root of 413772193 is about 20341.3911274524. The cubic root of 413772193 is about 745.1672630163.

The spelling of 413772193 in words is "four hundred thirteen million, seven hundred seventy-two thousand, one hundred ninety-three".