55057 has 2 divisors, whose sum is σ = 55058. Its totient is φ = 55056.

The previous prime is 55051. The next prime is 55061. The reversal of 55057 is 75055.

55057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 16641 = 196^2 + 129^2 .

It is a cyclic number.

It is not a de Polignac number, because 55057 - 2³ = 55049 is a prime.

It is a Chen prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (55051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27528 + 27529.

It is an arithmetic number, because the mean of its divisors is an integer number (27529).

2⁵⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

55057 is a deficient number, since it is larger than the sum of its proper divisors (1).

55057 is an equidigital number, since it uses as much as digits as its factorization.

55057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 875, while the sum is 22.

The square root of 55057 is about 234.6422809299. The cubic root of 55057 is about 38.0426575440.

The spelling of 55057 in words is "fifty-five thousand, fifty-seven".