360009 has 24 divisors (see below), whose sum is σ = 596232. Its totient is φ = 207360.

The previous prime is 360007. The next prime is 360023. The reversal of 360009 is 900063.

It can be written as a sum of positive squares in 4 ways, for example, as 9 + 360000 = 3^2 + 600^2 .

It is not a de Polignac number, because 360009 - 2¹ = 360007 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 359973 and 360000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1899 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (24843).

2³⁶⁰⁰⁰⁹ is an apocalyptic number.

360009 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

360009 is a deficient number, since it is larger than the sum of its proper divisors (236223).

360009 is a wasteful number, since it uses less digits than its factorization.

360009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 360009 is about 600.0074999531. The cubic root of 360009 is about 71.1384589004.

The spelling of 360009 in words is "three hundred sixty thousand, nine".