66085837 has 2 divisors, whose sum is σ = 66085838. Its totient is φ = 66085836.

The previous prime is 66085823. The next prime is 66085843. The reversal of 66085837 is 73858066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58583716 + 7502121 = 7654^2 + 2739^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66085837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66085793 and 66085802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66085897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33042918 + 33042919.

It is an arithmetic number, because the mean of its divisors is an integer number (33042919).

Almost surely, 2^66085837 is an apocalyptic number.

It is an amenable number.

66085837 is a deficient number, since it is larger than the sum of its proper divisors (1).

66085837 is an equidigital number, since it uses as much as digits as its factorization.

66085837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 66085837 is about 8129.3195902240. The cubic root of 66085837 is about 404.2991220851.

The spelling of 66085837 in words is "sixty-six million, eighty-five thousand, eight hundred thirty-seven".