27253 has 2 divisors, whose sum is σ = 27254. Its totient is φ = 27252.

The previous prime is 27241. The next prime is 27259. The reversal of 27253 is 35272.

It is a happy number.

27253 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 3844 = 153^2 + 62^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27253 is a prime.

It is a d-powerful number, because it can be written as 2¹¹ + 7⁵ + 2¹³ + 5³ + 3⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 27253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13626 + 13627.

It is an arithmetic number, because the mean of its divisors is an integer number (13627).

2²⁷²⁵³ is an apocalyptic number.

It is an amenable number.

27253 is a deficient number, since it is larger than the sum of its proper divisors (1).

27253 is an equidigital number, since it uses as much as digits as its factorization.

27253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 19.

The square root of 27253 is about 165.0848266801. The cubic root of 27253 is about 30.0934125384.

Adding to 27253 its sum of digits (19), we get a palindrome (27272).

It can be divided in two parts, 272 and 53, that added together give a triangular number (325 = T₂₅).

The spelling of 27253 in words is "twenty-seven thousand, two hundred fifty-three".