10006973 has 2 divisors, whose sum is σ = 10006974. Its totient is φ = 10006972.

The previous prime is 10006957. The next prime is 10006987. The reversal of 10006973 is 37960001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8868484 + 1138489 = 2978^2 + 1067^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006973 - 2⁴ = 10006957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006933) 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, 5003486 + 5003487.

It is an arithmetic number, because the mean of its divisors is an integer number (5003487).

Almost surely, 2^10006973 is an apocalyptic number.

It is an amenable number.

10006973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006973 is an equidigital number, since it uses as much as digits as its factorization.

10006973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 10006973 is about 3163.3799961434. The cubic root of 10006973 is about 215.4935336120.

Adding to 10006973 its reverse (37960001), we get a palindrome (47966974).

It can be divided in two parts, 100069 and 73, that multiplied together give a palindrome (7305037).

The spelling of 10006973 in words is "ten million, six thousand, nine hundred seventy-three".