26562 has 16 divisors (see below), whose sum is σ = 56160. Its totient is φ = 8352.

The previous prime is 26561. The next prime is 26573.

26562 is nontrivially palindromic in base 10.

26562 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (26561) 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, 3 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2²⁶⁵⁶² is an apocalyptic number.

26562 is an abundant number, since it is smaller than the sum of its proper divisors (29598).

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 (28080).

26562 is a wasteful number, since it uses less digits than its factorization.

26562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257.

The product of its digits is 720, while the sum is 21.

The square root of 26562 is about 162.9785261929. The cubic root of 26562 is about 29.8368925840.

The spelling of 26562 in words is "twenty-six thousand, five hundred sixty-two".