10538873 has 2 divisors, whose sum is σ = 10538874. Its totient is φ = 10538872.

The previous prime is 10538867. The next prime is 10538881. The reversal of 10538873 is 37883501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7689529 + 2849344 = 2773^2 + 1688^2 .

It is a cyclic number.

It is not a de Polignac number, because 10538873 - 2⁸ = 10538617 is a prime.

It is a super-2 number, since 2×10538873² = 222135688220258, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10538813) 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, 5269436 + 5269437.

It is an arithmetic number, because the mean of its divisors is an integer number (5269437).

Almost surely, 2^10538873 is an apocalyptic number.

It is an amenable number.

10538873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10538873 is an equidigital number, since it uses as much as digits as its factorization.

10538873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 10538873 is about 3246.3630419286. The cubic root of 10538873 is about 219.2458544315.

It can be divided in two parts, 10538 and 873, that added together give a palindrome (11411).

The spelling of 10538873 in words is "ten million, five hundred thirty-eight thousand, eight hundred seventy-three".