26775 has 36 divisors (see below), whose sum is σ = 58032. Its totient is φ = 11520.

The previous prime is 26759. The next prime is 26777. The reversal of 26775 is 57762.

It is not a de Polignac number, because 26775 - 2⁴ = 26759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26777) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1567 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (1612).

2²⁶⁷⁷⁵ is an apocalyptic number.

26775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26775 is an abundant number, since it is smaller than the sum of its proper divisors (31257).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016).

26775 is a wasteful number, since it uses less digits than its factorization.

26775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 32 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 26775 is about 163.6306817195. The cubic root of 26775 is about 29.9164341075.

The spelling of 26775 in words is "twenty-six thousand, seven hundred seventy-five".