54777 has 12 divisors (see below), whose sum is σ = 79440. Its totient is φ = 33480.

The previous prime is 54773. The next prime is 54779. The reversal of 54777 is 77745.

It is a happy number.

It is not a de Polignac number, because 54777 - 2² = 54773 is a prime.

54777 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54773) 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 11 ways as a sum of consecutive naturals, for example, 1752 + ... + 1782.

It is an arithmetic number, because the mean of its divisors is an integer number (6620).

2⁵⁴⁷⁷⁷ is an apocalyptic number.

54777 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

54777 is a deficient number, since it is larger than the sum of its proper divisors (24663).

54777 is a wasteful number, since it uses less digits than its factorization.

54777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its digits is 6860, while the sum is 30.

The square root of 54777 is about 234.0448674934. The cubic root of 54777 is about 37.9780575075.

The spelling of 54777 in words is "fifty-four thousand, seven hundred seventy-seven".