10517893 has 2 divisors, whose sum is σ = 10517894. Its totient is φ = 10517892.

The previous prime is 10517873. The next prime is 10517909. The reversal of 10517893 is 39871501.

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., 7851204 + 2666689 = 2802^2 + 1633^2 .

It is an emirp because it is prime and its reverse (39871501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10517893 - 2¹³ = 10509701 is a prime.

It is a super-2 number, since 2×10517893² = 221252146318898, which contains 22 as substring.

It is equal to p₆₉₆₇₂₄ and since 10517893 and 696724 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10517833) 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, 5258946 + 5258947.

It is an arithmetic number, because the mean of its divisors is an integer number (5258947).

Almost surely, 2^10517893 is an apocalyptic number.

It is an amenable number.

10517893 is a deficient number, since it is larger than the sum of its proper divisors (1).

10517893 is an equidigital number, since it uses as much as digits as its factorization.

10517893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 10517893 is about 3243.1301238156. The cubic root of 10517893 is about 219.1002717016.

The spelling of 10517893 in words is "ten million, five hundred seventeen thousand, eight hundred ninety-three".