53085 has 8 divisors (see below), whose sum is σ = 84960. Its totient is φ = 28304.

The previous prime is 53077. The next prime is 53087. The reversal of 53085 is 58035.

53085 = T₉₈ + T₉₉ + ... + T₁₀₇.

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 53085 - 2³ = 53077 is a prime.

It is a super-3 number, since 3×53085³ = 448783333167375, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1755 + ... + 1784.

It is an arithmetic number, because the mean of its divisors is an integer number (10620).

2⁵³⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

53085 is a deficient number, since it is larger than the sum of its proper divisors (31875).

53085 is a wasteful number, since it uses less digits than its factorization.

53085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547.

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

The square root of 53085 is about 230.4018229095. The cubic root of 53085 is about 37.5829275897.

Subtracting 53085 from its reverse (58035), we obtain a triangular number (4950 = T₉₉).

The spelling of 53085 in words is "fifty-three thousand, eighty-five".