416006693 has 2 divisors, whose sum is σ = 416006694. Its totient is φ = 416006692.

The previous prime is 416006663. The next prime is 416006741. The reversal of 416006693 is 396600614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 383493889 + 32512804 = 19583^2 + 5702^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416006693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416006603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208003346 + 208003347.

It is an arithmetic number, because the mean of its divisors is an integer number (208003347).

Almost surely, 2^416006693 is an apocalyptic number.

It is an amenable number.

416006693 is a deficient number, since it is larger than the sum of its proper divisors (1).

416006693 is an equidigital number, since it uses as much as digits as its factorization.

416006693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 416006693 is about 20396.2421293728. The cubic root of 416006693 is about 746.5062348191.

The spelling of 416006693 in words is "four hundred sixteen million, six thousand, six hundred ninety-three".