115185 has 16 divisors (see below), whose sum is σ = 210816. Its totient is φ = 52608.

The previous prime is 115183. The next prime is 115201. The reversal of 115185 is 581511.

115185 = T₆₃ + T₆₄ + ... + T₉₇.

It is not a de Polignac number, because 115185 - 2¹ = 115183 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

115185 is a modest number, since divided by 185 gives 115 as remainder.

115185 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (13176).

2¹¹⁵¹⁸⁵ is an apocalyptic number.

115185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115185 is a deficient number, since it is larger than the sum of its proper divisors (95631).

115185 is a wasteful number, since it uses less digits than its factorization.

115185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112.

The product of its digits is 200, while the sum is 21.

The square root of 115185 is about 339.3891571633. The cubic root of 115185 is about 48.6555039972.

Adding to 115185 its reverse (581511), we get a palindrome (696696).

It can be divided in two parts, 115 and 185, that added together give a triangular number (300 = T₂₄).

The spelling of 115185 in words is "one hundred fifteen thousand, one hundred eighty-five".