311416609 has 9 divisors (see below), whose sum is σ = 362403891. Its totient is φ = 266822640.

The previous prime is 311416543. The next prime is 311416627. The reversal of 311416609 is 906614113.

The square root of 311416609 is 17647.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 247009 + 311169600 = 497^2 + 17640^2 .

It is not a de Polignac number, because 311416609 - 2⁹ = 311416097 is a prime.

It is a super-2 number, since 2×311416609² = 193960608722117762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311416639) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122269 + ... + 124789.

It is an arithmetic number, because the mean of its divisors is an integer number (40267099).

Almost surely, 2^311416609 is an apocalyptic number.

311416609 is the 17647-th square number.

311416609 is the 8824-th centered octagonal number.

It is an amenable number.

311416609 is a deficient number, since it is larger than the sum of its proper divisors (50987282).

311416609 is an frugal number, since it uses more digits than its factorization.

311416609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The cubic root of 311416609 is about 677.8192893255.

The spelling of 311416609 in words is "three hundred eleven million, four hundred sixteen thousand, six hundred nine".