26805 has 8 divisors (see below), whose sum is σ = 42912. Its totient is φ = 14288.

The previous prime is 26801. The next prime is 26813. The reversal of 26805 is 50862.

It is a happy number.

26805 is nontrivially palindromic in base 14.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 26805 - 2^{2} = 26801 is a prime.

It is a Curzon number.

26805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (5364).

2^{26805} is an apocalyptic number.

It is an amenable number.

26805 is a deficient number, since it is larger than the sum of its proper divisors (16107).

26805 is a wasteful number, since it uses less digits than its factorization.

26805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 26805 is about 163.7223259058. The cubic root of 26805 is about 29.9276032085.

The spelling of 26805 in words is "twenty-six thousand, eight hundred five".

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