54909 has 6 divisors (see below), whose sum is σ = 79326. Its totient is φ = 36600.

The previous prime is 54907. The next prime is 54917. The reversal of 54909 is 90945.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 5625 = 222^2 + 75^2 .

It is not a de Polignac number, because 54909 - 2¹ = 54907 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

54909 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3042 + ... + 3059.

It is an arithmetic number, because the mean of its divisors is an integer number (13221).

2⁵⁴⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

54909 is a deficient number, since it is larger than the sum of its proper divisors (24417).

54909 is a wasteful number, since it uses less digits than its factorization.

54909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6107 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 54909 is about 234.3266950221. The cubic root of 54909 is about 38.0085391705.

The spelling of 54909 in words is "fifty-four thousand, nine hundred nine".