306085 has 16 divisors (see below), whose sum is σ = 420336. Its totient is φ = 211968.

The previous prime is 306083. The next prime is 306091. The reversal of 306085 is 580603.

It can be written as a sum of positive squares in 8 ways, for example, as 26244 + 279841 = 162^2 + 529^2 .

It is a 5-Lehmer number, since φ(306085) divides (306085-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 306085 - 2¹ = 306083 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306083) 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, 967 + ... + 1243.

It is an arithmetic number, because the mean of its divisors is an integer number (26271).

2³⁰⁶⁰⁸⁵ is an apocalyptic number.

306085 is the 277-th decagonal number.

It is an amenable number.

306085 is a deficient number, since it is larger than the sum of its proper divisors (114251).

306085 is a wasteful number, since it uses less digits than its factorization.

306085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 306085 is about 553.2494916401. The cubic root of 306085 is about 67.3928799342.

Adding to 306085 its reverse (580603), we get a palindrome (886688).

It can be divided in two parts, 3060 and 85, that multiplied together give a square (260100 = 510²).

The spelling of 306085 in words is "three hundred six thousand, eighty-five".