54049 has 2 divisors, whose sum is σ = 54050. Its totient is φ = 54048.

The previous prime is 54037. The next prime is 54059. The reversal of 54049 is 94045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 225 = 232^2 + 15^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-54049 is a prime.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54059) 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, 27024 + 27025.

It is an arithmetic number, because the mean of its divisors is an integer number (27025).

2⁵⁴⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

54049 is a deficient number, since it is larger than the sum of its proper divisors (1).

54049 is an equidigital number, since it uses as much as digits as its factorization.

54049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 54049 is about 232.4844080793. The cubic root of 54049 is about 37.8090606575.

The spelling of 54049 in words is "fifty-four thousand, forty-nine".