10583873 has 2 divisors, whose sum is σ = 10583874. Its totient is φ = 10583872.

The previous prime is 10583861. The next prime is 10583879. The reversal of 10583873 is 37838501.

10583873 is digitally balanced in base 2, 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., 8862529 + 1721344 = 2977^2 + 1312^2 .

It is a cyclic number.

It is not a de Polignac number, because 10583873 - 2⁴ = 10583857 is a prime.

It is a super-2 number, since 2×10583873² = 224036735360258, 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 (10583879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5291936 + 5291937.

It is an arithmetic number, because the mean of its divisors is an integer number (5291937).

Almost surely, 2^10583873 is an apocalyptic number.

It is an amenable number.

10583873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10583873 is an equidigital number, since it uses as much as digits as its factorization.

10583873 is an evil number, because the sum of its binary digits is even.

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

The square root of 10583873 is about 3253.2864921491. The cubic root of 10583873 is about 219.5574644198.

The spelling of 10583873 in words is "ten million, five hundred eighty-three thousand, eight hundred seventy-three".