10006277 has 2 divisors, whose sum is σ = 10006278. Its totient is φ = 10006276.

The previous prime is 10006267. The next prime is 10006289. The reversal of 10006277 is 77260001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7230721 + 2775556 = 2689^2 + 1666^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006277 - 2⁴ = 10006261 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 (10006207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003138 + 5003139.

It is an arithmetic number, because the mean of its divisors is an integer number (5003139).

Almost surely, 2^10006277 is an apocalyptic number.

It is an amenable number.

10006277 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006277 is an equidigital number, since it uses as much as digits as its factorization.

10006277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 10006277 is about 3163.2699853158. The cubic root of 10006277 is about 215.4885375298.

Adding to 10006277 its reverse (77260001), we get a palindrome (87266278).

The spelling of 10006277 in words is "ten million, six thousand, two hundred seventy-seven".