10597 has 2 divisors, whose sum is σ = 10598. Its totient is φ = 10596.

The previous prime is 10589. The next prime is 10601. The reversal of 10597 is 79501.

10597 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., 6241 + 4356 = 79^2 + 66^2 .

It is a cyclic number.

It is not a de Polignac number, because 10597 - 2³ = 10589 is a prime.

It is a super-2 number, since 2×10597² = 224592818, which contains 22 as substring.

It is a Chen prime.

10597 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5298 + 5299.

It is an arithmetic number, because the mean of its divisors is an integer number (5299).

2¹⁰⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

10597 is a deficient number, since it is larger than the sum of its proper divisors (1).

10597 is an equidigital number, since it uses as much as digits as its factorization.

10597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 10597 is about 102.9417310909. The cubic root of 10597 is about 21.9648198064.

It can be divided in two parts, 105 and 97, that added together give a palindrome (202).

The spelling of 10597 in words is "ten thousand, five hundred ninety-seven".