55541 has 2 divisors, whose sum is σ = 55542. Its totient is φ = 55540.

The previous prime is 55529. The next prime is 55547. The reversal of 55541 is 14555.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34225 + 21316 = 185^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 55541 - 2¹⁰ = 54517 is a prime.

It is a Chen prime.

It is an Ulam number.

It is equal to p₅₆₃₆ and since 55541 and 5636 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55541.

It is not a weakly prime, because it can be changed into another prime (55547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27770 + 27771.

It is an arithmetic number, because the mean of its divisors is an integer number (27771).

2⁵⁵⁵⁴¹ is an apocalyptic number.

It is an amenable number.

55541 is a deficient number, since it is larger than the sum of its proper divisors (1).

55541 is an equidigital number, since it uses as much as digits as its factorization.

55541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 500, while the sum is 20.

The square root of 55541 is about 235.6713813767. The cubic root of 55541 is about 38.1538087370.

It can be divided in two parts, 5554 and 1, that added together give a palindrome (5555).

The spelling of 55541 in words is "fifty-five thousand, five hundred forty-one".