54567 has 16 divisors (see below), whose sum is σ = 84480. Its totient is φ = 34776.

The previous prime is 54563. The next prime is 54577. The reversal of 54567 is 76545.

54567 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 54567 - 2² = 54563 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 54567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (5280).

2⁵⁴⁵⁶⁷ is an apocalyptic number.

54567 is a deficient number, since it is larger than the sum of its proper divisors (29913).

54567 is a wasteful number, since it uses less digits than its factorization.

54567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 54567 is about 233.5958047568. The cubic root of 54567 is about 37.9294628683.

The spelling of 54567 in words is "fifty-four thousand, five hundred sixty-seven".