55337 has 2 divisors, whose sum is σ = 55338. Its totient is φ = 55336.

The previous prime is 55333. The next prime is 55339. The reversal of 55337 is 73355.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44521 + 10816 = 211^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 55337 - 2² = 55333 is a prime.

Together with 55339, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55337.

It is not a weakly prime, because it can be changed into another prime (55331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27668 + 27669.

It is an arithmetic number, because the mean of its divisors is an integer number (27669).

2⁵⁵³³⁷ is an apocalyptic number.

It is an amenable number.

55337 is a deficient number, since it is larger than the sum of its proper divisors (1).

55337 is an equidigital number, since it uses as much as digits as its factorization.

55337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1575, while the sum is 23.

The square root of 55337 is about 235.2381771737. The cubic root of 55337 is about 38.1070389284.

The spelling of 55337 in words is "fifty-five thousand, three hundred thirty-seven".