56185 has 8 divisors (see below), whose sum is σ = 71496. Its totient is φ = 42240.

The previous prime is 56179. The next prime is 56197. The reversal of 56185 is 58165.

It can be written as a sum of positive squares in 4 ways, for example, as 19321 + 36864 = 139^2 + 192^2 .

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

It is not a de Polignac number, because 56185 - 2⁹ = 55673 is a prime.

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

It is a Duffinian number.

56185 is a lucky number.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (8937).

2⁵⁶¹⁸⁵ is an apocalyptic number.

It is an amenable number.

56185 is a deficient number, since it is larger than the sum of its proper divisors (15311).

56185 is a wasteful number, since it uses less digits than its factorization.

56185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

The product of its digits is 1200, while the sum is 25.

The square root of 56185 is about 237.0337528708. The cubic root of 56185 is about 38.3007073792.

It can be divided in two parts, 561 and 85, that added together give a palindrome (646).

The spelling of 56185 in words is "fifty-six thousand, one hundred eighty-five".