1185 has 8 divisors (see below), whose sum is σ = 1920. Its totient is φ = 624.

The previous prime is 1181. The next prime is 1187. The reversal of 1185 is 5811.

1185 = 6^{2} + 7^{2} + ... + 15^{2}.

It is a happy number.

1185 is nontrivially palindromic in base 4.

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

It is not a de Polignac number, because 1185 - 2^{2} = 1181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 79 = 1185 / (1 + 1 + 8 + 5).

It is a Curzon number.

It is a plaindrome in base 9.

It is a nialpdrome in base 11 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1181) 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, 25 + ... + 54.

It is an arithmetic number, because the mean of its divisors is an integer number (240).

1185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1185 is a deficient number, since it is larger than the sum of its proper divisors (735).

1185 is an equidigital number, since it uses as much as digits as its factorization.

1185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87.

The product of its digits is 40, while the sum is 15.

The square root of 1185 is about 34.4238289561. The cubic root of 1185 is about 10.5821224702.

Adding to 1185 its product of digits (40), we get a triangular number (1225 = T_{49}).

Adding to 1185 its reverse (5811), we get a palindrome (6996).

The spelling of 1185 in words is "one thousand, one hundred eighty-five".

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