416107693 has 2 divisors, whose sum is σ = 416107694. Its totient is φ = 416107692.

The previous prime is 416107687. The next prime is 416107711. The reversal of 416107693 is 396701614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403126084 + 12981609 = 20078^2 + 3603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416107693 is a prime.

It is a super-2 number, since 2×416107693² = 346291224347564498, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416107613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208053846 + 208053847.

It is an arithmetic number, because the mean of its divisors is an integer number (208053847).

Almost surely, 2^416107693 is an apocalyptic number.

It is an amenable number.

416107693 is a deficient number, since it is larger than the sum of its proper divisors (1).

416107693 is an equidigital number, since it uses as much as digits as its factorization.

416107693 is an odious number, because the sum of its binary digits is odd.

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

The square root of 416107693 is about 20398.7179253991. The cubic root of 416107693 is about 746.5666433254.

The spelling of 416107693 in words is "four hundred sixteen million, one hundred seven thousand, six hundred ninety-three".