26361 has 12 divisors (see below), whose sum is σ = 39780. Its totient is φ = 16800.

The previous prime is 26357. The next prime is 26371. The reversal of 26361 is 16362.

26361 = T₃₀ + T₃₁ + ... + T₅₆.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 5625 = 144^2 + 75^2 .

It is not a de Polignac number, because 26361 - 2² = 26357 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (3315).

2²⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

26361 is a deficient number, since it is larger than the sum of its proper divisors (13419).

26361 is a wasteful number, since it uses less digits than its factorization.

26361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 133 counting only the distinct ones).

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

The square root of 26361 is about 162.3607095328. The cubic root of 26361 is about 29.7614413541.

Subtracting from 26361 its reverse (16362), we obtain a palindrome (9999).

It can be divided in two parts, 263 and 61, that added together give a square (324 = 18²).

The spelling of 26361 in words is "twenty-six thousand, three hundred sixty-one".