412193 has 2 divisors, whose sum is σ = 412194. Its totient is φ = 412192.

The previous prime is 412189. The next prime is 412201. The reversal of 412193 is 391214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 12769 = 632^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 412193 - 2² = 412189 is a prime.

It is not a weakly prime, because it can be changed into another prime (412123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206096 + 206097.

It is an arithmetic number, because the mean of its divisors is an integer number (206097).

2⁴¹²¹⁹³ is an apocalyptic number.

It is an amenable number.

412193 is a deficient number, since it is larger than the sum of its proper divisors (1).

412193 is an equidigital number, since it uses as much as digits as its factorization.

412193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 20.

The square root of 412193 is about 642.0225852725. The cubic root of 412193 is about 74.4218058602.

The spelling of 412193 in words is "four hundred twelve thousand, one hundred ninety-three".