412585193 has 2 divisors, whose sum is σ = 412585194. Its totient is φ = 412585192.

The previous prime is 412585153. The next prime is 412585219. The reversal of 412585193 is 391585214.

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., 277955584 + 134629609 = 16672^2 + 11603^2 .

It is a cyclic number.

It is not a de Polignac number, because 412585193 - 2¹⁴ = 412568809 is a prime.

It is not a weakly prime, because it can be changed into another prime (412585153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206292596 + 206292597.

It is an arithmetic number, because the mean of its divisors is an integer number (206292597).

Almost surely, 2^412585193 is an apocalyptic number.

It is an amenable number.

412585193 is a deficient number, since it is larger than the sum of its proper divisors (1).

412585193 is an equidigital number, since it uses as much as digits as its factorization.

412585193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43200, while the sum is 38.

The square root of 412585193 is about 20312.1932099909. The cubic root of 412585193 is about 744.4540197419.

The spelling of 412585193 in words is "four hundred twelve million, five hundred eighty-five thousand, one hundred ninety-three".