5385 has 8 divisors (see below), whose sum is σ = 8640. Its totient is φ = 2864.

The previous prime is 5381. The next prime is 5387. The reversal of 5385 is 5835.

5385 = T₃₀ + T₃₁ + ... + T₃₈.

5385 = 8² + 9² + ... + 25².

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 5385 - 2² = 5381 is a prime.

It is a Curzon number.

5385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2⁵³⁸⁵ is an apocalyptic number.

It is an amenable number.

5385 is a deficient number, since it is larger than the sum of its proper divisors (3255).

5385 is a wasteful number, since it uses less digits than its factorization.

5385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its digits is 600, while the sum is 21.

The square root of 5385 is about 73.3825592358. The cubic root of 5385 is about 17.5278468218.

The spelling of 5385 in words is "five thousand, three hundred eighty-five".