361305 has 48 divisors (see below), whose sum is σ = 758784. Its totient is φ = 155520.

The previous prime is 361279. The next prime is 361313. The reversal of 361305 is 503163.

361305 is a `hidden beast` number, since 361 + 305 = 666.

It is not a de Polignac number, because 361305 - 2⁶ = 361241 is a prime.

It is a Curzon number.

361305 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9747 + ... + 9783.

It is an arithmetic number, because the mean of its divisors is an integer number (15808).

2³⁶¹³⁰⁵ is an apocalyptic number.

361305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

361305 is an abundant number, since it is smaller than the sum of its proper divisors (397479).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361305 is a wasteful number, since it uses less digits than its factorization.

361305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 361305 is about 601.0865162354. The cubic root of 361305 is about 71.2237206871.

Adding to 361305 its reverse (503163), we get a palindrome (864468).

It can be divided in two parts, 361 and 305, that added together give a palindrome (666).

The spelling of 361305 in words is "three hundred sixty-one thousand, three hundred five".