417065993 has 2 divisors, whose sum is σ = 417065994. Its totient is φ = 417065992.

The previous prime is 417065989. The next prime is 417066011. The reversal of 417065993 is 399560714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 402724624 + 14341369 = 20068^2 + 3787^2 .

It is a cyclic number.

It is not a de Polignac number, because 417065993 - 2² = 417065989 is a prime.

It is not a weakly prime, because it can be changed into another prime (417065933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208532996 + 208532997.

It is an arithmetic number, because the mean of its divisors is an integer number (208532997).

Almost surely, 2^417065993 is an apocalyptic number.

It is an amenable number.

417065993 is a deficient number, since it is larger than the sum of its proper divisors (1).

417065993 is an equidigital number, since it uses as much as digits as its factorization.

417065993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 417065993 is about 20422.1936382946. The cubic root of 417065993 is about 747.1393206316.

The spelling of 417065993 in words is "four hundred seventeen million, sixty-five thousand, nine hundred ninety-three".