13261 has 4 divisors (see below), whose sum is σ = 13500. Its totient is φ = 13024.

The previous prime is 13259. The next prime is 13267. The reversal of 13261 is 16231.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2025 + 11236 = 45^2 + 106^2 .

It is a cyclic number.

It is not a de Polignac number, because 13261 - 2¹ = 13259 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13267) 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, 15 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

2¹³²⁶¹ is an apocalyptic number.

13261 is the 52-nd centered decagonal number.

It is an amenable number.

13261 is a deficient number, since it is larger than the sum of its proper divisors (239).

13261 is an equidigital number, since it uses as much as digits as its factorization.

13261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its digits is 36, while the sum is 13.

The square root of 13261 is about 115.1564153662. The cubic root of 13261 is about 23.6696639286.

Subtracting from 13261 its product of digits (36), we obtain a square (13225 = 115²).

Adding to 13261 its reverse (16231), we get a palindrome (29492).

The spelling of 13261 in words is "thirteen thousand, two hundred sixty-one".