53385 has 8 divisors (see below), whose sum is σ = 85440. Its totient is φ = 28464.

The previous prime is 53381. The next prime is 53401. The reversal of 53385 is 58335.

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

It is not a de Polignac number, because 53385 - 2² = 53381 is a prime.

53385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (53381) 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, 1765 + ... + 1794.

It is an arithmetic number, because the mean of its divisors is an integer number (10680).

2⁵³³⁸⁵ is an apocalyptic number.

It is an amenable number.

53385 is a deficient number, since it is larger than the sum of its proper divisors (32055).

53385 is a wasteful number, since it uses less digits than its factorization.

53385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567.

The product of its digits is 1800, while the sum is 24.

The square root of 53385 is about 231.0519422121. The cubic root of 53385 is about 37.6535922810.

Subtracting from 53385 its sum of digits (24), we obtain a square (53361 = 231²).

Subtracting 53385 from its reverse (58335), we obtain a triangular number (4950 = T₉₉).

The spelling of 53385 in words is "fifty-three thousand, three hundred eighty-five".