309416 has 8 divisors (see below), whose sum is σ = 580170. Its totient is φ = 154704.

The previous prime is 309403. The next prime is 309433. The reversal of 309416 is 614903.

It can be written as a sum of positive squares in only one way, i.e., 306916 + 2500 = 554^2 + 50^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×309416² = 191476522112, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 309391 and 309400.

It is an unprimeable number.

309416 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 as a sum of consecutive naturals, namely, 19331 + ... + 19346.

2³⁰⁹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

309416 is a deficient number, since it is larger than the sum of its proper divisors (270754).

309416 is a wasteful number, since it uses less digits than its factorization.

309416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38683 (or 38679 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 309416 is about 556.2517415703. The cubic root of 309416 is about 67.6364683076.

The spelling of 309416 in words is "three hundred nine thousand, four hundred sixteen".