104985 has 12 divisors (see below), whose sum is σ = 182052. Its totient is φ = 55968.

The previous prime is 104971. The next prime is 104987. The reversal of 104985 is 589401.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 68121 = 192^2 + 261^2 .

It is not a de Polignac number, because 104985 - 2⁵ = 104953 is a prime.

It is a super-2 number, since 2×104985² = 22043700450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104987) 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, 1122 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (15171).

104985 is a Friedman number, since it can be written as 18^(5-4^0)+9, using all its digits and the basic arithmetic operations.

2¹⁰⁴⁹⁸⁵ is an apocalyptic number.

104985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104985 is a deficient number, since it is larger than the sum of its proper divisors (77067).

104985 is a wasteful number, since it uses less digits than its factorization.

104985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 104985 is about 324.0138885912. The cubic root of 104985 is about 47.1746931752.

Subtracting 104985 from its reverse (589401), we obtain a square (484416 = 696²).

It can be divided in two parts, 104 and 985, that added together give a square (1089 = 33²).

The spelling of 104985 in words is "one hundred four thousand, nine hundred eighty-five".