412072993 has 2 divisors, whose sum is σ = 412072994. Its totient is φ = 412072992.

The previous prime is 412072939. The next prime is 412073009. The reversal of 412072993 is 399270214.

Together with previous prime (412072939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399520144 + 12552849 = 19988^2 + 3543^2 .

It is a cyclic number.

It is not a de Polignac number, because 412072993 - 2⁹ = 412072481 is a prime.

It is not a weakly prime, because it can be changed into another prime (412072093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206036496 + 206036497.

It is an arithmetic number, because the mean of its divisors is an integer number (206036497).

Almost surely, 2^412072993 is an apocalyptic number.

It is an amenable number.

412072993 is a deficient number, since it is larger than the sum of its proper divisors (1).

412072993 is an equidigital number, since it uses as much as digits as its factorization.

412072993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 412072993 is about 20299.5811040524. The cubic root of 412072993 is about 744.1458270298.

The spelling of 412072993 in words is "four hundred twelve million, seventy-two thousand, nine hundred ninety-three".