10592 has 12 divisors (see below), whose sum is σ = 20916. Its totient is φ = 5280.

The previous prime is 10589. The next prime is 10597. The reversal of 10592 is 29501.

10592 is an esthetic number in base 6 and base 15, because in such bases its adjacent digits differ by 1.

It is a super-2 number, since 2×10592² = 224380928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10592.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10592.

It is not an unprimeable number, because it can be changed into a prime (10597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (1743).

2¹⁰⁵⁹² is an apocalyptic number.

It is an amenable number.

10592 is a deficient number, since it is larger than the sum of its proper divisors (10324).

10592 is an equidigital number, since it uses as much as digits as its factorization.

10592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10592 is about 102.9174426421. The cubic root of 10592 is about 21.9613646972.

Adding to 10592 its sum of digits (17), we get a square (10609 = 103²).

The spelling of 10592 in words is "ten thousand, five hundred ninety-two".