10585273 has 2 divisors, whose sum is σ = 10585274. Its totient is φ = 10585272.

The previous prime is 10585259. The next prime is 10585279. The reversal of 10585273 is 37258501.

10585273 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7772944 + 2812329 = 2788^2 + 1677^2 .

It is a cyclic number.

It is not a de Polignac number, because 10585273 - 2⁵ = 10585241 is a prime.

It is a super-2 number, since 2×10585273² = 224096008969058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10585279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292636 + 5292637.

It is an arithmetic number, because the mean of its divisors is an integer number (5292637).

Almost surely, 2^10585273 is an apocalyptic number.

It is an amenable number.

10585273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585273 is an equidigital number, since it uses as much as digits as its factorization.

10585273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 10585273 is about 3253.5016520666. The cubic root of 10585273 is about 219.5671447734.

The spelling of 10585273 in words is "ten million, five hundred eighty-five thousand, two hundred seventy-three".