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3185 = 57213
BaseRepresentation
bin110001110001
311100222
4301301
5100220
622425
712200
oct6161
94328
103185
112436
121a15
1315b0
141237
15e25
hexc71

3185 has 12 divisors (see below), whose sum is σ = 4788. Its totient is φ = 2016.

The previous prime is 3181. The next prime is 3187. The reversal of 3185 is 5813.

3185 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 784 + 2401 = 28^2 + 49^2 .

It is not a de Polignac number, because 3185 - 22 = 3181 is a prime.

3185 is an undulating number in base 8.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3181) 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, 239 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (399).

3185 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3185 is a deficient number, since it is larger than the sum of its proper divisors (1603).

3185 is a wasteful number, since it uses less digits than its factorization.

3185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 25 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 3185 is about 56.4358042381. The cubic root of 3185 is about 14.7130647268.

Multiplying 3185 by its sum of digits (17), we get a palindrome (54145).

Adding to 3185 its reverse (5813), we get a palindrome (8998).

Subtracting 3185 from its reverse (5813), we obtain a triangular number (2628 = T72).

It can be divided in two parts, 318 and 5, that added together give a palindrome (323).

The spelling of 3185 in words is "three thousand, one hundred eighty-five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 3185