10838593 has 2 divisors, whose sum is σ = 10838594. Its totient is φ = 10838592.

The previous prime is 10838579. The next prime is 10838599. The reversal of 10838593 is 39583801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10419984 + 418609 = 3228^2 + 647^2 .

It is a cyclic number.

It is not a de Polignac number, because 10838593 - 2⁹ = 10838081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10838599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5419296 + 5419297.

It is an arithmetic number, because the mean of its divisors is an integer number (5419297).

Almost surely, 2^10838593 is an apocalyptic number.

It is an amenable number.

10838593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10838593 is an equidigital number, since it uses as much as digits as its factorization.

10838593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 10838593 is about 3292.2018467889. The cubic root of 10838593 is about 221.3048691945.

The spelling of 10838593 in words is "ten million, eight hundred thirty-eight thousand, five hundred ninety-three".