309396 has 48 divisors (see below), whose sum is σ = 806400. Its totient is φ = 91872.

The previous prime is 309391. The next prime is 309403. The reversal of 309396 is 693903.

309396 is nontrivially palindromic in base 15.

It is a nialpdrome in base 13.

It is a zygodrome 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 309396.

It is not an unprimeable number, because it can be changed into a prime (309391) by changing a digit.

309396 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, 5215 + ... + 5273.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2³⁰⁹³⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

309396 is an abundant number, since it is smaller than the sum of its proper divisors (497004).

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

309396 is a wasteful number, since it uses less digits than its factorization.

309396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 309396 is about 556.2337638080. The cubic root of 309396 is about 67.6350109832.

The spelling of 309396 in words is "three hundred nine thousand, three hundred ninety-six".