309366 has 32 divisors (see below), whose sum is σ = 730080. Its totient is φ = 96768.

The previous prime is 309359. The next prime is 309367. The reversal of 309366 is 663903.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309366.

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

309366 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2³⁰⁹³⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365040).

309366 is an abundant number, since it is smaller than the sum of its proper divisors (420714).

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

309366 is a wasteful number, since it uses less digits than its factorization.

309366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 309366 is about 556.2067960750. The cubic root of 309366 is about 67.6328248787.

The spelling of 309366 in words is "three hundred nine thousand, three hundred sixty-six".