54813 has 12 divisors (see below), whose sum is σ = 80864. Its totient is φ = 33000.

The previous prime is 54799. The next prime is 54829. The reversal of 54813 is 31845.

54813 is nontrivially palindromic in base 5.

It is a de Polignac number, because none of the positive numbers 2^k-54813 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288 + ... + 438.

2⁵⁴⁸¹³ is an apocalyptic number.

It is an amenable number.

54813 is a deficient number, since it is larger than the sum of its proper divisors (26051).

54813 is a wasteful number, since it uses less digits than its factorization.

54813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 54813 is about 234.1217631917. The cubic root of 54813 is about 37.9863755404.

It can be divided in two parts, 548 and 13, that added together give a triangular number (561 = T₃₃).

The spelling of 54813 in words is "fifty-four thousand, eight hundred thirteen".