54409 has 2 divisors, whose sum is σ = 54410. Its totient is φ = 54408.

The previous prime is 54403. The next prime is 54413. The reversal of 54409 is 90445.

54409 is nontrivially palindromic in base 11.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 16384 = 195^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 54409 - 2³ = 54401 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 54409.

It is not a weakly prime, because it can be changed into another prime (54401) 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, 27204 + 27205.

It is an arithmetic number, because the mean of its divisors is an integer number (27205).

2⁵⁴⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

54409 is a deficient number, since it is larger than the sum of its proper divisors (1).

54409 is an equidigital number, since it uses as much as digits as its factorization.

54409 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 54409 is about 233.2573685867. The cubic root of 54409 is about 37.8928189345.

The spelling of 54409 in words is "fifty-four thousand, four hundred nine".