413617493 has 2 divisors, whose sum is σ = 413617494. Its totient is φ = 413617492.

The previous prime is 413617439. The next prime is 413617499. The reversal of 413617493 is 394716314.

Together with previous prime (413617439) 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., 377641489 + 35976004 = 19433^2 + 5998^2 .

It is a cyclic number.

It is not a de Polignac number, because 413617493 - 2²⁴ = 396840277 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413617499) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206808746 + 206808747.

It is an arithmetic number, because the mean of its divisors is an integer number (206808747).

Almost surely, 2^413617493 is an apocalyptic number.

It is an amenable number.

413617493 is a deficient number, since it is larger than the sum of its proper divisors (1).

413617493 is an equidigital number, since it uses as much as digits as its factorization.

413617493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 38.

The square root of 413617493 is about 20337.5881805095. The cubic root of 413617493 is about 745.0743844171.

The spelling of 413617493 in words is "four hundred thirteen million, six hundred seventeen thousand, four hundred ninety-three".