365585 has 24 divisors (see below), whose sum is σ = 530496. Its totient is φ = 239360.

The previous prime is 365569. The next prime is 365587. The reversal of 365585 is 585563.

365585 = T₁₅ + T₁₆ + ... + T₁₂₉.

It is not a de Polignac number, because 365585 - 2⁴ = 365569 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365585.

It is not an unprimeable number, because it can be changed into a prime (365587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15884 + ... + 15906.

It is an arithmetic number, because the mean of its divisors is an integer number (22104).

2³⁶⁵⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

365585 is a deficient number, since it is larger than the sum of its proper divisors (164911).

365585 is a wasteful number, since it uses less digits than its factorization.

365585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its digits is 18000, while the sum is 32.

The square root of 365585 is about 604.6362542885. The cubic root of 365585 is about 71.5038549114.

It can be divided in two parts, 36558 and 5, that added together give a palindrome (36563).

The spelling of 365585 in words is "three hundred sixty-five thousand, five hundred eighty-five".