314509 has 6 divisors (see below), whose sum is σ = 340746. Its totient is φ = 290160.

The previous prime is 314497. The next prime is 314513. The reversal of 314509 is 905413.

314509 = T₁₀₇ + T₁₀₈ + ... + T₁₄₅.

It can be written as a sum of positive squares in 3 ways, for example, as 42025 + 272484 = 205^2 + 522^2 .

It is not a de Polignac number, because 314509 - 2⁹ = 313997 is a prime.

It is a super-2 number, since 2×314509² = 197831822162, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314549) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 762 + ... + 1099.

It is an arithmetic number, because the mean of its divisors is an integer number (56791).

2³¹⁴⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

314509 is a deficient number, since it is larger than the sum of its proper divisors (26237).

314509 is a wasteful number, since it uses less digits than its factorization.

314509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 314509 is about 560.8110198632. The cubic root of 314509 is about 68.0055502967.

The spelling of 314509 in words is "three hundred fourteen thousand, five hundred nine".