54819 has 6 divisors (see below), whose sum is σ = 79196. Its totient is φ = 36540.

The previous prime is 54799. The next prime is 54829. The reversal of 54819 is 91845.

54819 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54819 - 2⁵ = 54787 is a prime.

It is a super-2 number, since 2×54819² = 6010245522, which contains 22 as substring.

It is a Duffinian number.

54819 is a lucky number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 54792 and 54801.

It is not an unprimeable number, because it can be changed into a prime (54829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3037 + ... + 3054.

2⁵⁴⁸¹⁹ is an apocalyptic number.

54819 is a deficient number, since it is larger than the sum of its proper divisors (24377).

54819 is a wasteful number, since it uses less digits than its factorization.

54819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6094 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 54819 is about 234.1345766861. The cubic root of 54819 is about 37.9877615251.

The spelling of 54819 in words is "fifty-four thousand, eight hundred nineteen".