5185 has 8 divisors (see below), whose sum is σ = 6696. Its totient is φ = 3840.

The previous prime is 5179. The next prime is 5189. The reversal of 5185 is 5815.

5185 is nontrivially palindromic in base 16.

It is a Cunningham number, because it is equal to 72²+1.

5185 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 5041 = 12^2 + 71^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5185 - 2⁵ = 5153 is a prime.

It is a Duffinian number.

5185 is a modest number, since divided by 185 gives 5 as remainder.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 115.

It is an arithmetic number, because the mean of its divisors is an integer number (837).

2⁵¹⁸⁵ is an apocalyptic number.

It is an amenable number.

5185 is a deficient number, since it is larger than the sum of its proper divisors (1511).

5185 is a wasteful number, since it uses less digits than its factorization.

5185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

The product of its digits is 200, while the sum is 19.

The square root of 5185 is about 72.0069441096. The cubic root of 5185 is about 17.3081076190.

Subtracting 5185 from its reverse (5815), we obtain a triangular number (630 = T₃₅).

It can be divided in two parts, 51 and 85, that added together give a triangular number (136 = T₁₆).

The spelling of 5185 in words is "five thousand, one hundred eighty-five".