10485 has 12 divisors (see below), whose sum is σ = 18252. Its totient is φ = 5568.

The previous prime is 10477. The next prime is 10487. The reversal of 10485 is 58401.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 7569 = 54^2 + 87^2 .

It is not a de Polignac number, because 10485 - 2³ = 10477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487) 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, 72 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1521).

2¹⁰⁴⁸⁵ is an apocalyptic number.

10485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10485 is a deficient number, since it is larger than the sum of its proper divisors (7767).

10485 is a wasteful number, since it uses less digits than its factorization.

10485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10485 is about 102.3962889953. The cubic root of 10485 is about 21.8871633035.

Adding to 10485 its reverse (58401), we get a palindrome (68886).

The spelling of 10485 in words is "ten thousand, four hundred eighty-five".