27953 has 2 divisors, whose sum is σ = 27954. Its totient is φ = 27952.

The previous prime is 27947. The next prime is 27961. The reversal of 27953 is 35972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27889 + 64 = 167^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 27953 - 2⁸ = 27697 is a prime.

It is a Chen prime.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (27943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13976 + 13977.

It is an arithmetic number, because the mean of its divisors is an integer number (13977).

2²⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

27953 is a deficient number, since it is larger than the sum of its proper divisors (1).

27953 is an equidigital number, since it uses as much as digits as its factorization.

27953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1890, while the sum is 26.

The square root of 27953 is about 167.1915069613. The cubic root of 27953 is about 30.3488897650.

It can be divided in two parts, 2795 and 3, that multiplied together give a triangular number (8385 = T₁₂₉).

The spelling of 27953 in words is "twenty-seven thousand, nine hundred fifty-three".