55711 has 2 divisors, whose sum is σ = 55712. Its totient is φ = 55710.

The previous prime is 55697. The next prime is 55717. The reversal of 55711 is 11755.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 55711 - 2¹⁵ = 22943 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27855 + 27856.

It is an arithmetic number, because the mean of its divisors is an integer number (27856).

2⁵⁵⁷¹¹ is an apocalyptic number.

55711 is a deficient number, since it is larger than the sum of its proper divisors (1).

55711 is an equidigital number, since it uses as much as digits as its factorization.

55711 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 175, while the sum is 19.

The square root of 55711 is about 236.0317775216. The cubic root of 55711 is about 38.1926961722.

Subtracting from 55711 its reverse (11755), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 55711 in words is "fifty-five thousand, seven hundred eleven".