55837 has 2 divisors, whose sum is σ = 55838. Its totient is φ = 55836.

The previous prime is 55829. The next prime is 55843. The reversal of 55837 is 73855.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 4761 = 226^2 + 69^2 .

It is a cyclic number.

It is not a de Polignac number, because 55837 - 2³ = 55829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27918 + 27919.

It is an arithmetic number, because the mean of its divisors is an integer number (27919).

2⁵⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

55837 is a deficient number, since it is larger than the sum of its proper divisors (1).

55837 is an equidigital number, since it uses as much as digits as its factorization.

55837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 28.

The square root of 55837 is about 236.2985399870. The cubic root of 55837 is about 38.2214676077.

It can be divided in two parts, 558 and 37, that added together give a palindrome (595).

The spelling of 55837 in words is "fifty-five thousand, eight hundred thirty-seven".