54405 has 32 divisors (see below), whose sum is σ = 107520. Its totient is φ = 25920.

The previous prime is 54403. The next prime is 54409. The reversal of 54405 is 50445.

It is a happy number.

It is not a de Polignac number, because 54405 - 2¹ = 54403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1740 + ... + 1770.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵⁴⁴⁰⁵ is an apocalyptic number.

54405 is the 135-th octagonal number and also the 117-th decagonal number.

It is an amenable number.

54405 is a deficient number, since it is larger than the sum of its proper divisors (53115).

54405 is a wasteful number, since it uses less digits than its factorization.

54405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54405 is about 233.2487942091. The cubic root of 54405 is about 37.8918903198.

It can be divided in two parts, 5440 and 5, that added together give a palindrome (5445).

The spelling of 54405 in words is "fifty-four thousand, four hundred five".