93285 has 16 divisors (see below), whose sum is σ = 166080. Its totient is φ = 49680.

The previous prime is 93283. The next prime is 93287. The reversal of 93285 is 58239.

It is an interprime number because it is at equal distance from previous prime (93283) and next prime (93287).

It is not a de Polignac number, because 93285 - 2¹ = 93283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

93285 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93285.

It is not an unprimeable number, because it can be changed into a prime (93281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (10380).

2⁹³²⁸⁵ is an apocalyptic number.

It is an amenable number.

93285 is a deficient number, since it is larger than the sum of its proper divisors (72795).

93285 is a wasteful number, since it uses less digits than its factorization.

93285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 93285 is about 305.4259321014. The cubic root of 93285 is about 45.3527826483.

Subtracting from 93285 its product of digits (2160), we obtain a cube (91125 = 45³).

It can be divided in two parts, 93 and 285, that added together give a triangular number (378 = T₂₇).

The spelling of 93285 in words is "ninety-three thousand, two hundred eighty-five".