27261 has 12 divisors (see below), whose sum is σ = 42588. Its totient is φ = 16704.

The previous prime is 27259. The next prime is 27271. The reversal of 27261 is 16272.

27261 = 19² + 20² + ... + 44².

It is a happy number.

27261 is a nontrivial binomial coefficient, being equal to C(234, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 4761 + 22500 = 69^2 + 150^2 .

It is not a de Polignac number, because 27261 - 2¹ = 27259 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27211) 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, 1 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (3549).

2²⁷²⁶¹ is an apocalyptic number.

27261 is the 233-rd triangular number and also the 117-th hexagonal number.

It is an amenable number.

27261 is a deficient number, since it is larger than the sum of its proper divisors (15327).

27261 is a wasteful number, since it uses less digits than its factorization.

27261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 27261 is about 165.1090548698. The cubic root of 27261 is about 30.0963568473.

It can be divided in two parts, 272 and 61, that added together give a palindrome (333).

The spelling of 27261 in words is "twenty-seven thousand, two hundred sixty-one".