54085 has 8 divisors (see below), whose sum is σ = 67320. Its totient is φ = 41664.

The previous prime is 54083. The next prime is 54091. The reversal of 54085 is 58045.

54085 = T₄₆ + T₄₇ + ... + T₇₄.

It is a happy number.

54085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 47524 = 81^2 + 218^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54085 - 2¹ = 54083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (8415).

2⁵⁴⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

54085 is a deficient number, since it is larger than the sum of its proper divisors (13235).

54085 is a wasteful number, since it uses less digits than its factorization.

54085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 54085 is about 232.5618197383. The cubic root of 54085 is about 37.8174531908.

It can be divided in two parts, 540 and 85, that added together give a 4-th power (625 = 5⁴).

The spelling of 54085 in words is "fifty-four thousand, eighty-five".