10285 has 12 divisors (see below), whose sum is σ = 14364. Its totient is φ = 7040.

The previous prime is 10273. The next prime is 10289. The reversal of 10285 is 58201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5929 + 4356 = 77^2 + 66^2 .

It is not a de Polignac number, because 10285 - 2⁵ = 10253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2¹⁰²⁸⁵ is an apocalyptic number.

It is an amenable number.

10285 is a deficient number, since it is larger than the sum of its proper divisors (4079).

10285 is a wasteful number, since it uses less digits than its factorization.

10285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10285 is about 101.4149890302. The cubic root of 10285 is about 21.7471040316.

Adding to 10285 its sum of digits (16), we get a palindrome (10301).

Adding to 10285 its reverse (58201), we get a palindrome (68486).

It can be divided in two parts, 10 and 285, that multiplied together give a triangular number (2850 = T₇₅).

The spelling of 10285 in words is "ten thousand, two hundred eighty-five".