309361 has 8 divisors (see below), whose sum is σ = 340200. Its totient is φ = 279552.

The previous prime is 309359. The next prime is 309367. The reversal of 309361 is 163903.

It can be written as a sum of positive squares in 4 ways, for example, as 40000 + 269361 = 200^2 + 519^2 .

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

It is not a de Polignac number, because 309361 - 2¹ = 309359 is a prime.

It is a Duffinian number.

309361 is a lucky number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (309367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2³⁰⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

309361 is a deficient number, since it is larger than the sum of its proper divisors (30839).

309361 is a wasteful number, since it uses less digits than its factorization.

309361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 309361 is about 556.2023013257. The cubic root of 309361 is about 67.6324605142.

The spelling of 309361 in words is "three hundred nine thousand, three hundred sixty-one".