54805 has 8 divisors (see below), whose sum is σ = 67032. Its totient is φ = 43008.

The previous prime is 54799. The next prime is 54829. The reversal of 54805 is 50845.

It is a happy number.

54805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49 + 54756 = 7^2 + 234^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54805 - 2⁵ = 54773 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁵⁴⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

54805 is a deficient number, since it is larger than the sum of its proper divisors (12227).

54805 is a wasteful number, since it uses less digits than its factorization.

54805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 54805 is about 234.1046774415. The cubic root of 54805 is about 37.9845274035.

It can be divided in two parts, 5 and 4805, that multiplied together give a square (24025 = 155²).

The spelling of 54805 in words is "fifty-four thousand, eight hundred five".