26533 has 6 divisors (see below), whose sum is σ = 28914. Its totient is φ = 24336.

The previous prime is 26513. The next prime is 26539. The reversal of 26533 is 33562.

26533 is nontrivially palindromic in base 12.

It is the 67-th star number.

It can be written as a sum of positive squares in 3 ways, for example, as 289 + 26244 = 17^2 + 162^2 .

It is not a de Polignac number, because 26533 - 2⁵ = 26501 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 6² + 5³ + 3⁸ + 3⁹ .

It is a Duffinian number.

26533 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 13 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 26533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26539) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91 + ... + 247.

It is an arithmetic number, because the mean of its divisors is an integer number (4819).

2²⁶⁵³³ is an apocalyptic number.

It is an amenable number.

26533 is a deficient number, since it is larger than the sum of its proper divisors (2381).

26533 is a wasteful number, since it uses less digits than its factorization.

26533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 26533 is about 162.8895331198. The cubic root of 26533 is about 29.8260301367.

The spelling of 26533 in words is "twenty-six thousand, five hundred thirty-three".