26613 has 6 divisors (see below), whose sum is σ = 38454. Its totient is φ = 17736.

The previous prime is 26597. The next prime is 26627. The reversal of 26613 is 31662.

It is a happy number.

26613 is a `hidden beast` number, since 2 + 661 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 7569 = 138^2 + 87^2 .

It is not a de Polignac number, because 26613 - 2⁴ = 26597 is a prime.

It is an Ulam number.

It is a plaindrome in base 12 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1470 + ... + 1487.

It is an arithmetic number, because the mean of its divisors is an integer number (6409).

2²⁶⁶¹³ is an apocalyptic number.

It is an amenable number.

26613 is a deficient number, since it is larger than the sum of its proper divisors (11841).

26613 is a wasteful number, since it uses less digits than its factorization.

26613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2960 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 26613 is about 163.1349134919. The cubic root of 26613 is about 29.8559763460.

The spelling of 26613 in words is "twenty-six thousand, six hundred thirteen".