26749 has 4 divisors (see below), whose sum is σ = 27936. Its totient is φ = 25564.

The previous prime is 26737. The next prime is 26759. The reversal of 26749 is 94762.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 94762 = 2 ⋅47381.

It is a cyclic number.

It is not a de Polignac number, because 26749 - 2⁵ = 26717 is a prime.

It is a Duffinian number.

26749 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 559 + ... + 604.

It is an arithmetic number, because the mean of its divisors is an integer number (6984).

2²⁶⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

26749 is a deficient number, since it is larger than the sum of its proper divisors (1187).

26749 is a wasteful number, since it uses less digits than its factorization.

26749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186.

The product of its digits is 3024, while the sum is 28.

The square root of 26749 is about 163.5512152202. The cubic root of 26749 is about 29.9067474696.

The spelling of 26749 in words is "twenty-six thousand, seven hundred forty-nine".