185 has 4 divisors (see below), whose sum is σ = 228. Its totient is φ = 144.

The previous prime is 181. The next prime is 191. The reversal of 185 is 581.

Subtracting from 185 its sum of digits (14), we obtain a palindrome (171).

Adding to 185 its product of digits (40), we get a square (225 = 15^{2}).

185 = T_{6} + T_{7} + ... +
T_{10}.

185 is nontrivially palindromic in base 6 and base 7.

185 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 581 = 7 ⋅83.

It can be written as a sum of positive squares in 2 ways, for example, as 121 + 64 = 11^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 185 - 2^{2} = 181 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

185 is an undulating number in base 6 and base 7.

It is a plaindrome in base 9, base 11, base 12 and base 13.

It is a nialpdrome in base 14, base 15 and base 16.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 23.

It is an arithmetic number, because the mean of its divisors is an integer number (57).

It is an amenable number.

185 is a deficient number, since it is larger than the sum of its proper divisors (43).

185 is an equidigital number, since it uses as much as digits as its factorization.

185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42.

The product of its digits is 40, while the sum is 14.

The square root of 185 is about 13.6014705087. The cubic root of 185 is about 5.6980192153.

The spelling of 185 in words is "one hundred eighty-five", and thus it is an aban number.

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