309546 has 24 divisors (see below), whose sum is σ = 694980. Its totient is φ = 99456.

The previous prime is 309541. The next prime is 309559. The reversal of 309546 is 645903.

It is a happy number.

309546 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 308025 + 1521 = 555^2 + 39^2 .

It is a super-2 number, since 2×309546² = 191637452232, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309546.

It is not an unprimeable number, because it can be changed into a prime (309541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226 + ... + 818.

2³⁰⁹⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347490).

309546 is an abundant number, since it is smaller than the sum of its proper divisors (385434).

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

309546 is a wasteful number, since it uses less digits than its factorization.

309546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 309546 is about 556.3685828657. The cubic root of 309546 is about 67.6459393862.

The spelling of 309546 in words is "three hundred nine thousand, five hundred forty-six".