10267973 has 2 divisors, whose sum is σ = 10267974. Its totient is φ = 10267972.

The previous prime is 10267937. The next prime is 10267979. The reversal of 10267973 is 37976201.

10267973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10267937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8868484 + 1399489 = 2978^2 + 1183^2 .

It is an emirp because it is prime and its reverse (37976201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10267973 - 2¹⁸ = 10005829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10267979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5133986 + 5133987.

It is an arithmetic number, because the mean of its divisors is an integer number (5133987).

Almost surely, 2^10267973 is an apocalyptic number.

It is an amenable number.

10267973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10267973 is an equidigital number, since it uses as much as digits as its factorization.

10267973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 10267973 is about 3204.3678003625. The cubic root of 10267973 is about 217.3509649736.

The spelling of 10267973 in words is "ten million, two hundred sixty-seven thousand, nine hundred seventy-three".